Yes it is safe. I would argue that the best practice is to keep the first 12 words safe as well, though not such a huge risk if the 13th word is complex and long enough. You should keep the entire seed safe, losing the last word can potentially mean losing everything as it is not covered by a checksum.
Thanks for the reply.
The last question that interests me.
13 word can be absolutely anything? Not from the BIP39 list ?