One problem related to engine exhaust system has been reported for the 2013 Ford F-250. The most recently reported issues are listed below.
Exhaust gas temperature sensors continue to cause issues, beginning within a year of purchase of vehicle new in 11/2013 (July 28, 2014). My truck has been in the Ford shop at least seven times now (currently in the shop now--July 2017--for a sensor that showed problems and was replaced last month--June 2017). The vehicle was moving in each circumstance; the first time my dashboard lit up and said "stop safely now"--I barely made it off the highway before the truck shut down. Had to have it towed to dealership.