I can’t give you a specific answer without knowing your location and the species of duck, but it looks like most species of common ducks in the US and UK lay an average of 8-10 eggs, with some laying almost double that. It makes sense to lay so many, if you think about it, because ducklings are fairly helpless fluffy snack-sized nuggets for the most common predatory animals.
It doesn’t sound like it’s common for wild ducks to adopt orphaned ducklings, according to the rehabber sites I found – apparently you can sometimes get domestic ducks to foster abandoned ducklings, although you have to have babies of almost the exact same age.
Mama ducks have a lot of babies. 13+ is vaguely unusual but not too out of the ordinary.