Was Jesus illiterate?

Jesus had an incredibly important message during his life, but left it to the deciples to make a written record of it. I would imagine that 2000 years ago most of the people of the time, just as today most of the people of the world were and are illiterate. It's quite remarkable that the deciples, mere fishermen etc would have been able to read and write. I know the jews are a very studious people, faithfull in their practices and dedicated to their families, but I don't think literacy would have been the norm then.