Mourtos began his pro career in 2008, with the Greek League club Aris.
After playing for two seasons with Ifaistos Limnou (and captaining the team), Mourtos signed with Larisa on August 25, 2020.
[2] On September 17, 2021, Mourtos signed with Ionikos Nikaias, after spending the preseason with them.
Mourtos was a member of the Greek junior national teams.
With the junior national teams of Greece, he won the gold medal at the 2009 FIBA Europe Under-20 Championship, and the silver medal at the 2010 FIBA Europe Under-20 Championship.