Farm Program Integrity Act of 2013 - Amends the Food Security Act of 1985 to establish a per farm cap of $50,000 on commodity program benefits and $75,000 on marketing loan program benefits ($125,000 total). Increases such limit to $250,000 for married couples.

Revises the limitation of benefits eligibility to active producers to include farm managers.

Establishes criteria for determining whether a person acting as a farm manager is actively engaged in farming for such purposes. (Permits only one such eligibility per farm operation.)