i suggest you to build a website and using bitmedia.io and a-ads to earn bitcoin,thats my best way to earn bitcoin
if and only if op has the skills to build a website on his own would that be possible; with 13 dollars he could barely get the domain name, but it would have to be a good one to attract traffic, assuming he can get free hosting somehow. not too realistic with such a small budget.
You don't need a good domain name for traffic. In fact, 99% of the biggest websites have domain names that don't even deal with their offerings. Branding is what matters -- not the domain name.