Verified by LLR (strong-Fermat, Lucas and Frobenius PRP)

Assuming its primality, this number is the largest "base 13 minimal prime" as described on http://primes.utm.edu/glossary/xpage/MinimalPrime.html if we only count the primes > base, see https://github.com/xayahrainie4793/minimal-elements-of-the-prime-numbers for more information. In base 13 there are 3197 minimal primes if we only count the primes > base, all but the largest four ((41*13^592198+27)/4, (113*13^197420-5)/12, 8*13^32020+183, (149*13^23756+79)/12) are definitely primes.

To be completed...