Final answer:
The largest value of an int data type in Python is not preset and can be arbitrarily large, depending on system memory. Python abstracts away the memory allocation details, different from languages with fixed int sizes like C or C++.
Step-by-step explanation:
The largest value of an int data type in the Python programming language is not fixed and depends on the memory available in the system. In Python 3, an int can theoretically hold an incredibly large number, limited only by the amount of memory your system has. The options provided (A) 2¹³ - 1, (B) 2¹⁶ - 1, (C) 2⁶³ - 1, and (D) 2⁶⁴ - 1, are associated more with programming languages that have fixed maximum int sizes, like C or C++. In those contexts, such limits make sense due to the way those languages allocate memory for different data types. Python, however, abstracts this detail away, allowing for arbitrarily large integers, constrained only by the system's available memory.