Why choose 13 for the number of goldfish? 13 is not a traditional lucky number in China, but it would be better if it is 16 or 9 or something like that.
Judging from the difficulty of raising fish, the less fish, the better. I don't know how big your tank is. My own experience is that it is 10 liter of water, 1 goldfish, and it is based on simple filtration.