13031211102137 has 2 divisors, whose sum is σ = 13031211102138. Its totient is φ = 13031211102136.

The previous prime is 13031211102113. The next prime is 13031211102139. The reversal of 13031211102137 is 73120111213031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9757901527696 + 3273309574441 = 3123764^2 + 1809229^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031211102137 - 2³⁶ = 12962491625401 is a prime.

Together with 13031211102139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13031211102139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515605551068 + 6515605551069.

It is an arithmetic number, because the mean of its divisors is an integer number (6515605551069).

Almost surely, 2^{13031211102137} is an apocalyptic number.

It is an amenable number.

13031211102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031211102137 is an equidigital number, since it uses as much as digits as its factorization.

13031211102137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 13031211102137 its reverse (73120111213031), we get a palindrome (86151322315168).

The spelling of 13031211102137 in words is "thirteen trillion, thirty-one billion, two hundred eleven million, one hundred two thousand, one hundred thirty-seven".