Cryptic crossword No 3,359

Across

1. Mohammed to essentially correct Mike on religious character (6)
2. To some extent, Pontiac Nimrod brought about civilization (4)
3. Peter or Kamal out of bounds in full view (8)
4. School has method to eliminate variable vowel sound (5)
5. Airborne hunter lived with head of priesthood? (4)
6. Madagascar introduces instrument control for pop song (2,10,3)
7. African branch networks lost recipes for battered ray, shark? (6)
8. Sprinters, maybe in trainers (4)
9. Hag with a cape at LARP, mixing with oil of ancient texts (15)
10. Hotel in Nottinghamshire town's crafting facility (8)
11. Amos, Ulysses defending city (5)
12. Hotel's diluted wine uncovered, exposed (4)
13. New SpyCo cadet milks stepping on a rake? (9,6)

Down

1. Within, be a team; without, cut the crap? (4)
2. Going across or down, in 11, start with A, then a reversal at the end (5)
3. The French cook them in one of 17a, they say (4)
4. Engineered cow grunts, bathes in plant hormone (6,9)
5. Fight in a supermarket (4)
6. After dance, dated tool (6)
7. Celebrated foot model states, "You'll regret that!" (6,4,5)
8. Oil reduced spot on derrière (5)
9. Hesitates after twelve months! Twelve months lost! GP used to listen! (8)
10. Amateurish to the end, the case of Patsy Hill never concluded (6)
11. 20a was serving this all along, maybe it's a set up! (4)
12. Man bags billion with friend in London, closing in before commercial computer could process it (7,8)
13. Occupying Sahara by pacifying upset rodent (8)