23330013313 has 2 divisors, whose sum is σ = 23330013314. Its totient is φ = 23330013312.

The previous prime is 23330013253. The next prime is 23330013319. The reversal of 23330013313 is 31331003332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16913522704 + 6416490609 = 130052^2 + 80103^2 .

It is a cyclic number.

It is not a de Polignac number, because 23330013313 - 2²⁹ = 22793142401 is a prime.

It is not a weakly prime, because it can be changed into another prime (23330013319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11665006656 + 11665006657.

It is an arithmetic number, because the mean of its divisors is an integer number (11665006657).

Almost surely, 2^23330013313 is an apocalyptic number.

It is an amenable number.

23330013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23330013313 is an equidigital number, since it uses as much as digits as its factorization.

23330013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 23330013313 its reverse (31331003332), we get a palindrome (54661016645).

The spelling of 23330013313 in words is "twenty-three billion, three hundred thirty million, thirteen thousand, three hundred thirteen".