23057137107013 has 2 divisors, whose sum is σ = 23057137107014. Its totient is φ = 23057137107012.

The previous prime is 23057137107001. The next prime is 23057137107019. The reversal of 23057137107013 is 31070173175032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11725679821284 + 11331457285729 = 3424278^2 + 3366223^2 .

It is a cyclic number.

It is not a de Polignac number, because 23057137107013 - 2⁴¹ = 20858113851461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23057137107019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11528568553506 + 11528568553507.

It is an arithmetic number, because the mean of its divisors is an integer number (11528568553507).

Almost surely, 2^{23057137107013} is an apocalyptic number.

It is an amenable number.

23057137107013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23057137107013 is an equidigital number, since it uses as much as digits as its factorization.

23057137107013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92610, while the sum is 40.

The spelling of 23057137107013 in words is "twenty-three trillion, fifty-seven billion, one hundred thirty-seven million, one hundred seven thousand, thirteen".