diff --git a/mypyc/lib-rt/pythoncapi_compat.h b/mypyc/lib-rt/pythoncapi_compat.h
index acaadf34bf2e..cee282d7efed 100644
--- a/mypyc/lib-rt/pythoncapi_compat.h
+++ b/mypyc/lib-rt/pythoncapi_compat.h
@@ -7,7 +7,7 @@
 // https://github.com/python/pythoncapi_compat
 //
 // Latest version:
-// https://raw.githubusercontent.com/python/pythoncapi_compat/master/pythoncapi_compat.h
+// https://raw.githubusercontent.com/python/pythoncapi-compat/main/pythoncapi_compat.h
 //
 // SPDX-License-Identifier: 0BSD
 
@@ -24,6 +24,9 @@ extern "C" {
 #if PY_VERSION_HEX < 0x030b00B4 && !defined(PYPY_VERSION)
 #  include "frameobject.h"        // PyFrameObject, PyFrame_GetBack()
 #endif
+#if PY_VERSION_HEX < 0x030C00A3
+#  include <structmember.h>       // T_SHORT, READONLY
+#endif
 
 
 #ifndef _Py_CAST
@@ -287,7 +290,7 @@ PyFrame_GetVarString(PyFrameObject *frame, const char *name)
 
 
 // bpo-39947 added PyThreadState_GetInterpreter() to Python 3.9.0a5
-#if PY_VERSION_HEX < 0x030900A5 || defined(PYPY_VERSION)
+#if PY_VERSION_HEX < 0x030900A5 || (defined(PYPY_VERSION) && PY_VERSION_HEX < 0x030B0000)
 static inline PyInterpreterState *
 PyThreadState_GetInterpreter(PyThreadState *tstate)
 {
@@ -918,7 +921,7 @@ static inline int
 PyObject_VisitManagedDict(PyObject *obj, visitproc visit, void *arg)
 {
     PyObject **dict = _PyObject_GetDictPtr(obj);
-    if (*dict == NULL) {
+    if (dict == NULL || *dict == NULL) {
         return -1;
     }
     Py_VISIT(*dict);
@@ -929,7 +932,7 @@ static inline void
 PyObject_ClearManagedDict(PyObject *obj)
 {
     PyObject **dict = _PyObject_GetDictPtr(obj);
-    if (*dict == NULL) {
+    if (dict == NULL || *dict == NULL) {
         return;
     }
     Py_CLEAR(*dict);
@@ -1204,11 +1207,11 @@ static inline int PyTime_PerfCounter(PyTime_t *result)
 #endif
 
 // gh-111389 added hash constants to Python 3.13.0a5. These constants were
-// added first as private macros to Python 3.4.0b1 and PyPy 7.3.9.
+// added first as private macros to Python 3.4.0b1 and PyPy 7.3.8.
 #if (!defined(PyHASH_BITS) \
      && ((!defined(PYPY_VERSION) && PY_VERSION_HEX >= 0x030400B1) \
          || (defined(PYPY_VERSION) && PY_VERSION_HEX >= 0x03070000 \
-             && PYPY_VERSION_NUM >= 0x07090000)))
+             && PYPY_VERSION_NUM >= 0x07030800)))
 #  define PyHASH_BITS _PyHASH_BITS
 #  define PyHASH_MODULUS _PyHASH_MODULUS
 #  define PyHASH_INF _PyHASH_INF
@@ -1520,6 +1523,36 @@ static inline int PyLong_GetSign(PyObject *obj, int *sign)
 }
 #endif
 
+// gh-126061 added PyLong_IsPositive/Negative/Zero() to Python in 3.14.0a2
+#if PY_VERSION_HEX < 0x030E00A2
+static inline int PyLong_IsPositive(PyObject *obj)
+{
+    if (!PyLong_Check(obj)) {
+        PyErr_Format(PyExc_TypeError, "expected int, got %s", Py_TYPE(obj)->tp_name);
+        return -1;
+    }
+    return _PyLong_Sign(obj) == 1;
+}
+
+static inline int PyLong_IsNegative(PyObject *obj)
+{
+    if (!PyLong_Check(obj)) {
+        PyErr_Format(PyExc_TypeError, "expected int, got %s", Py_TYPE(obj)->tp_name);
+        return -1;
+    }
+    return _PyLong_Sign(obj) == -1;
+}
+
+static inline int PyLong_IsZero(PyObject *obj)
+{
+    if (!PyLong_Check(obj)) {
+        PyErr_Format(PyExc_TypeError, "expected int, got %s", Py_TYPE(obj)->tp_name);
+        return -1;
+    }
+    return _PyLong_Sign(obj) == 0;
+}
+#endif
+
 
 // gh-124502 added PyUnicode_Equal() to Python 3.14.0a0
 #if PY_VERSION_HEX < 0x030E00A0
@@ -1690,6 +1723,216 @@ static inline int PyLong_AsUInt64(PyObject *obj, uint64_t *pvalue)
 #endif
 
 
+// gh-102471 added import and export API for integers to 3.14.0a2.
+#if PY_VERSION_HEX < 0x030E00A2 && PY_VERSION_HEX >= 0x03000000 && !defined(PYPY_VERSION)
+// Helpers to access PyLongObject internals.
+static inline void
+_PyLong_SetSignAndDigitCount(PyLongObject *op, int sign, Py_ssize_t size)
+{
+#if PY_VERSION_HEX >= 0x030C0000
+    op->long_value.lv_tag = (uintptr_t)(1 - sign) | ((uintptr_t)(size) << 3);
+#elif PY_VERSION_HEX >= 0x030900A4
+    Py_SET_SIZE(op, sign * size);
+#else
+    Py_SIZE(op) = sign * size;
+#endif
+}
+
+static inline Py_ssize_t
+_PyLong_DigitCount(const PyLongObject *op)
+{
+#if PY_VERSION_HEX >= 0x030C0000
+    return (Py_ssize_t)(op->long_value.lv_tag >> 3);
+#else
+    return _PyLong_Sign((PyObject*)op) < 0 ? -Py_SIZE(op) : Py_SIZE(op);
+#endif
+}
+
+static inline digit*
+_PyLong_GetDigits(const PyLongObject *op)
+{
+#if PY_VERSION_HEX >= 0x030C0000
+    return (digit*)(op->long_value.ob_digit);
+#else
+    return (digit*)(op->ob_digit);
+#endif
+}
+
+typedef struct PyLongLayout {
+    uint8_t bits_per_digit;
+    uint8_t digit_size;
+    int8_t digits_order;
+    int8_t digit_endianness;
+} PyLongLayout;
+
+typedef struct PyLongExport {
+    int64_t value;
+    uint8_t negative;
+    Py_ssize_t ndigits;
+    const void *digits;
+    Py_uintptr_t _reserved;
+} PyLongExport;
+
+typedef struct PyLongWriter PyLongWriter;
+
+static inline const PyLongLayout*
+PyLong_GetNativeLayout(void)
+{
+    static const PyLongLayout PyLong_LAYOUT = {
+        PyLong_SHIFT,
+        sizeof(digit),
+        -1,  // least significant first
+        PY_LITTLE_ENDIAN ? -1 : 1,
+    };
+
+    return &PyLong_LAYOUT;
+}
+
+static inline int
+PyLong_Export(PyObject *obj, PyLongExport *export_long)
+{
+    if (!PyLong_Check(obj)) {
+        memset(export_long, 0, sizeof(*export_long));
+        PyErr_Format(PyExc_TypeError, "expected int, got %s",
+                     Py_TYPE(obj)->tp_name);
+        return -1;
+    }
+
+    // Fast-path: try to convert to a int64_t
+    PyLongObject *self = (PyLongObject*)obj;
+    int overflow;
+#if SIZEOF_LONG == 8
+    long value = PyLong_AsLongAndOverflow(obj, &overflow);
+#else
+    // Windows has 32-bit long, so use 64-bit long long instead
+    long long value = PyLong_AsLongLongAndOverflow(obj, &overflow);
+#endif
+    Py_BUILD_ASSERT(sizeof(value) == sizeof(int64_t));
+    // the function cannot fail since obj is a PyLongObject
+    assert(!(value == -1 && PyErr_Occurred()));
+
+    if (!overflow) {
+        export_long->value = value;
+        export_long->negative = 0;
+        export_long->ndigits = 0;
+        export_long->digits = 0;
+        export_long->_reserved = 0;
+    }
+    else {
+        export_long->value = 0;
+        export_long->negative = _PyLong_Sign(obj) < 0;
+        export_long->ndigits = _PyLong_DigitCount(self);
+        if (export_long->ndigits == 0) {
+            export_long->ndigits = 1;
+        }
+        export_long->digits = _PyLong_GetDigits(self);
+        export_long->_reserved = (Py_uintptr_t)Py_NewRef(obj);
+    }
+    return 0;
+}
+
+static inline void
+PyLong_FreeExport(PyLongExport *export_long)
+{
+    PyObject *obj = (PyObject*)export_long->_reserved;
+
+    if (obj) {
+        export_long->_reserved = 0;
+        Py_DECREF(obj);
+    }
+}
+
+static inline PyLongWriter*
+PyLongWriter_Create(int negative, Py_ssize_t ndigits, void **digits)
+{
+    if (ndigits <= 0) {
+        PyErr_SetString(PyExc_ValueError, "ndigits must be positive");
+        return NULL;
+    }
+    assert(digits != NULL);
+
+    PyLongObject *obj = _PyLong_New(ndigits);
+    if (obj == NULL) {
+        return NULL;
+    }
+    _PyLong_SetSignAndDigitCount(obj, negative?-1:1, ndigits);
+
+    *digits = _PyLong_GetDigits(obj);
+    return (PyLongWriter*)obj;
+}
+
+static inline void
+PyLongWriter_Discard(PyLongWriter *writer)
+{
+    PyLongObject *obj = (PyLongObject *)writer;
+
+    assert(Py_REFCNT(obj) == 1);
+    Py_DECREF(obj);
+}
+
+static inline PyObject*
+PyLongWriter_Finish(PyLongWriter *writer)
+{
+    PyObject *obj = (PyObject *)writer;
+    PyLongObject *self = (PyLongObject*)obj;
+    Py_ssize_t j = _PyLong_DigitCount(self);
+    Py_ssize_t i = j;
+    int sign = _PyLong_Sign(obj);
+
+    assert(Py_REFCNT(obj) == 1);
+
+    // Normalize and get singleton if possible
+    while (i > 0 && _PyLong_GetDigits(self)[i-1] == 0) {
+        --i;
+    }
+    if (i != j) {
+        if (i == 0) {
+            sign = 0;
+        }
+        _PyLong_SetSignAndDigitCount(self, sign, i);
+    }
+    if (i <= 1) {
+        long val = sign * (long)(_PyLong_GetDigits(self)[0]);
+        Py_DECREF(obj);
+        return PyLong_FromLong(val);
+    }
+
+    return obj;
+}
+#endif
+
+
+#if PY_VERSION_HEX < 0x030C00A3
+#  define Py_T_SHORT      T_SHORT
+#  define Py_T_INT        T_INT
+#  define Py_T_LONG       T_LONG
+#  define Py_T_FLOAT      T_FLOAT
+#  define Py_T_DOUBLE     T_DOUBLE
+#  define Py_T_STRING     T_STRING
+#  define _Py_T_OBJECT    T_OBJECT
+#  define Py_T_CHAR       T_CHAR
+#  define Py_T_BYTE       T_BYTE
+#  define Py_T_UBYTE      T_UBYTE
+#  define Py_T_USHORT     T_USHORT
+#  define Py_T_UINT       T_UINT
+#  define Py_T_ULONG      T_ULONG
+#  define Py_T_STRING_INPLACE  T_STRING_INPLACE
+#  define Py_T_BOOL       T_BOOL
+#  define Py_T_OBJECT_EX  T_OBJECT_EX
+#  define Py_T_LONGLONG   T_LONGLONG
+#  define Py_T_ULONGLONG  T_ULONGLONG
+#  define Py_T_PYSSIZET   T_PYSSIZET
+
+#  if PY_VERSION_HEX >= 0x03000000 && !defined(PYPY_VERSION)
+#    define _Py_T_NONE      T_NONE
+#  endif
+
+#  define Py_READONLY            READONLY
+#  define Py_AUDIT_READ          READ_RESTRICTED
+#  define _Py_WRITE_RESTRICTED   PY_WRITE_RESTRICTED
+#endif
+
+
 #ifdef __cplusplus
 }
 #endif