23313312337013 has 2 divisors, whose sum is σ = 23313312337014. Its totient is φ = 23313312337012.

The previous prime is 23313312336989. The next prime is 23313312337033. The reversal of 23313312337013 is 31073321331332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23211948422884 + 101363914129 = 4817878^2 + 318377^2 .

It is a cyclic number.

It is not a de Polignac number, because 23313312337013 - 2⁸ = 23313312336757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23313312337033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11656656168506 + 11656656168507.

It is an arithmetic number, because the mean of its divisors is an integer number (11656656168507).

Almost surely, 2^{23313312337013} is an apocalyptic number.

It is an amenable number.

23313312337013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23313312337013 is an equidigital number, since it uses as much as digits as its factorization.

23313312337013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 35.

Adding to 23313312337013 its reverse (31073321331332), we get a palindrome (54386633668345).

The spelling of 23313312337013 in words is "twenty-three trillion, three hundred thirteen billion, three hundred twelve million, three hundred thirty-seven thousand, thirteen".