[ SOLUCION ] mysqldump: Got error: 1: Can't create/write to file '/msyql_dump/table.txt' (Errcode: 13) when executing 'SELECT INTO OUTFILE'

Luego de googlear demasiado y buscando solucion a este problema FINALMENTE LO ENCONTRE

Which particular version of Ubuntu is this and is this Ubuntu Server Edition?
Recent Ubuntu Server Editions (such as 10.04) ship with AppArmor and MySQL's profile might be in enforcing mode by default. You can check this by executing sudo aa-status like so:

# sudo aa-status5 profiles are loaded.
5 profiles are in enforce mode.
   /usr/lib/connman/scripts/dhclient-script
   /sbin/dhclient3
   /usr/sbin/tcpdump
   /usr/lib/NetworkManager/nm-dhcp-client.action
   /usr/sbin/mysqld0 profiles are in complain mode.
1 processes have profiles defined.
1 processes are in enforce mode :
   /usr/sbin/mysqld (1089)
0 processes are in complain mode.

If mysqld is included in enforce mode, then it is the one probably denying the write. Entries would also be written in /var/log/messages when AppArmor blocks the writes/accesses. What you can do is edit /etc/apparmor.d/usr.sbin.mysqld and add /data/ and /data/* near the bottom like so:
...
/usr/sbin/mysqld {
    ...
    /var/log/mysql/ r,
    /var/log/mysql/* rw,
    /var/run/mysqld/mysqld.pid w,
    /var/run/mysqld/mysqld.sock w,
    /data/ r,
    /data/* rw,
}
And then make AppArmor reload the profiles.

# sudo /etc/init.d/apparmor reload

WARNING: the change above will allow MySQL to read and write to the /data directory. We hope you've already considered the security implications of this.

Fuente: http://stackoverflow.com/questions/935556/mysql-dump-by-query