NCAA Football 13 does not exist on PlayStation 2. It launched in July 2012 exclusively for PlayStation 3 and Xbox 360. By then, the PS2 was in its final year (discontinued January 2013), and EA had already moved the series to seventh-gen hardware.
All three are inexpensive used ($5–$15) and run on any PS2 (or backward-compatible PS3). For a modern college football fix, College Football 25 (2024) is on PS5/Xbox Series X|S/PC—but not on last-gen or PS2.