23312100013 has 2 divisors, whose sum is σ = 23312100014. Its totient is φ = 23312100012.

The previous prime is 23312099999. The next prime is 23312100029. The reversal of 23312100013 is 31000121332.

It is an a-pointer prime, because the next prime (23312100029) can be obtained adding 23312100013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23100048169 + 212051844 = 151987^2 + 14562^2 .

It is a cyclic number.

It is not a de Polignac number, because 23312100013 - 2⁹ = 23312099501 is a prime.

It is a super-2 number, since 2×23312100013² (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 23312100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23312100043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11656050006 + 11656050007.

It is an arithmetic number, because the mean of its divisors is an integer number (11656050007).

Almost surely, 2^23312100013 is an apocalyptic number.

It is an amenable number.

23312100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23312100013 is an equidigital number, since it uses as much as digits as its factorization.

23312100013 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 23312100013 its reverse (31000121332), we get a palindrome (54312221345).

The spelling of 23312100013 in words is "twenty-three billion, three hundred twelve million, one hundred thousand, thirteen".