23131200013 has 2 divisors, whose sum is σ = 23131200014. Its totient is φ = 23131200012.

The previous prime is 23131199989. The next prime is 23131200019. The reversal of 23131200013 is 31000213132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12489627049 + 10641572964 = 111757^2 + 103158^2 .

It is a cyclic number.

It is not a de Polignac number, because 23131200013 - 2²⁵ = 23097645581 is a prime.

It is a super-2 number, since 2×23131200013² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23131200013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23131200019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11565600006 + 11565600007.

It is an arithmetic number, because the mean of its divisors is an integer number (11565600007).

Almost surely, 2^23131200013 is an apocalyptic number.

It is an amenable number.

23131200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23131200013 is an equidigital number, since it uses as much as digits as its factorization.

23131200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23131200013 its reverse (31000213132), we get a palindrome (54131413145).

The spelling of 23131200013 in words is "twenty-three billion, one hundred thirty-one million, two hundred thousand, thirteen".