ERROR 13 (HY000) When Creating Database
Errcode: 13 is a file permission issue.

If your datadir is /var/lib/mysql, do the following:

cd /var/lib/
ls -l


Check the file permissions as make sure /var/lib/mysql is owned by mysql:mysql.

If it is not, then do this:

chown -R mysql:mysql /var/lib/mysql


If you ran sudo, you are probably root. Make sure root can write into /var/lib/mysql

Give it a Try !!!