23313020010013 has 2 divisors, whose sum is σ = 23313020010014. Its totient is φ = 23313020010012.

The previous prime is 23313020009947. The next prime is 23313020010017. The reversal of 23313020010013 is 31001002031332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13671262216089 + 9641757793924 = 3697467^2 + 3105118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-23313020010013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23313020010017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11656510005006 + 11656510005007.

It is an arithmetic number, because the mean of its divisors is an integer number (11656510005007).

Almost surely, 2^{23313020010013} is an apocalyptic number.

It is an amenable number.

23313020010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23313020010013 is an equidigital number, since it uses as much as digits as its factorization.

23313020010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 23313020010013 its reverse (31001002031332), we get a palindrome (54314022041345).

The spelling of 23313020010013 in words is "twenty-three trillion, three hundred thirteen billion, twenty million, ten thousand, thirteen".