13101023137 has 2 divisors, whose sum is σ = 13101023138. Its totient is φ = 13101023136.

The previous prime is 13101023107. The next prime is 13101023147. The reversal of 13101023137 is 73132010131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12959317921 + 141705216 = 113839^2 + 11904^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101023137 - 2¹⁵ = 13100990369 is a prime.

It is not a weakly prime, because it can be changed into another prime (13101023107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550511568 + 6550511569.

It is an arithmetic number, because the mean of its divisors is an integer number (6550511569).

Almost surely, 2^13101023137 is an apocalyptic number.

It is an amenable number.

13101023137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101023137 is an equidigital number, since it uses as much as digits as its factorization.

13101023137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 13101023137 its reverse (73132010131), we get a palindrome (86233033268).

The spelling of 13101023137 in words is "thirteen billion, one hundred one million, twenty-three thousand, one hundred thirty-seven".