Synthetics are Dangerous Act of 2013 - Amends the Office of National Drug Control Policy Reauthorization Act of 1998 to: (1) include among the purposes of the national youth anti-drug media campaign to encourage parents and other interested adults to discuss with young people the dangers of synthetic drug use; (2) define "drug" for purposes of such campaign to be a controlled substance, including a synthetic drug; and (3) define a "synthetic drug" as an artificially produced substance that is an analog or derivative of a controlled substance but is not itself a controlled substance.