Federal Price Gouging Prevention Act of 2013 - Makes it unlawful for any person, during a proclaimed international crisis affecting the oil market, to sell gasoline or any other petroleum distillate at a price that: (1) is unconscionably excessive, and (2) indicates the seller is taking unfair advantage of the circumstances of the crisis to increase prices unreasonably.

Authorizes the President to issue such a proclamation citing the geographic area, gasoline or other petroleum distillate, and time period (not to exceed 30 consecutive days) covered. Permits such a proclamation to be renewed as the President determines appropriate and to include a period of up to one week preceding a reasonably foreseeable emergency.

Sets forth factors to be considered in determining if a violation of this Act has occurred. Requires the Federal Trade Commission (FTC) to enforce a violation of this Act as an unfair or deceptive act or practice and to give priority to enforcement actions concerning companies with U.S. sales over $10 billion per year. Prescribes civil and criminal penalties for violations, but limits the criminal penalty to criminal actions brought by the Department of Justice (DOJ).

Authorizes a state to bring a civil action to enforce this Act.

Declares that nothing in this Act preempts any state law.