Catalysis of the reaction: 13,14-dihydro-15-oxo-prostaglandin E2 + NAD(P)+ = 15-oxoprostaglandin E2 + H+ + NAD(P)H.
(5Z)-(15S)-11alpha-hydroxy-9,15-dioxoprostanoate:NAD(P)+ delta13-oxidoreductase activity