Where is area code 001513?

00 isn't part of the country code, it is a commonly used international access prefix. Country code +1 is North America (USA, Canada, etc.), and area code +1 513 is Cincinnati, Ohio, USA.

However, some countries use 001 as the international access prefix, which would leave country code +51 (Peru), and a Peruvian number beginning with 3 (invalid number).

Lastly, in Australia, 0015 is the international access prefix for calls routed on the Telstra network, with settings optimized for faxing. That would leave country code +1 (North America), and an area code beginning with 3 (need two more digits to narrow down location within North America).

(The plus sign means "insert your international access prefix here." From a GSM mobile phone, you can enter the number in full international format, starting with the plus sign. The most common prefix is 00, but North America (USA, Canada, etc.) uses 011, and many other countries use different prefixes.)