And people are telling you yes, they (rot13 and base64) are indeed ciphers. What's the confusion?

What people in this thread call a "key" is, not like a key, auxiliary input data, but hard-coded into the program. We are looking at encodings.

Maybe this differentiation is not popular or well accepted, but it was surely part of my cryptography curriculum and the following exam. I'd rather believe my prof than strangers on the internet.