Saracini Aviation Safety Act of 2013 - Directs the Administrator of the Federal Aviation Administration (FAA) to issue an order to require: (1) the installation of secondary barriers, other than the cockpit door, to prevent access to the flight deck of each commercial aircraft; (2) such barriers on an aircraft with a cockpit door to remain locked while the aircraft is in flight and the cockpit door separating the flight deck and the passenger area is open; and (3) such barriers on an aircraft without a cockpit door to remain locked as determined by the pilot in command.