What was Gilgamesh's Destiny?

When Gilgamesh returns from his journey, he also realizes that it is his destiny to rule wisely as a king, but not to attain immortality.

Gilgamesh is like the alpha male of a herd-chasing away or killing all of the male rivals, mating with as many females as he can. Strength is his tool to maintain power. 2/3 god, 1/3 human-power is raw without control, direction.