23330031132013 has 2 divisors, whose sum is σ = 23330031132014. Its totient is φ = 23330031132012.

The previous prime is 23330031131987. The next prime is 23330031132047. The reversal of 23330031132013 is 31023113003332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21723634583044 + 1606396548969 = 4660862^2 + 1267437^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-23330031132013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23330031138013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11665015566006 + 11665015566007.

It is an arithmetic number, because the mean of its divisors is an integer number (11665015566007).

Almost surely, 2^{23330031132013} is an apocalyptic number.

It is an amenable number.

23330031132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23330031132013 is an equidigital number, since it uses as much as digits as its factorization.

23330031132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 23330031132013 its reverse (31023113003332), we get a palindrome (54353144135345).

The spelling of 23330031132013 in words is "twenty-three trillion, three hundred thirty billion, thirty-one million, one hundred thirty-two thousand, thirteen".