13042324013 has 2 divisors, whose sum is σ = 13042324014. Its totient is φ = 13042324012.

The previous prime is 13042324003. The next prime is 13042324049. The reversal of 13042324013 is 31042324031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6985282084 + 6057041929 = 83578^2 + 77827^2 .

It is a cyclic number.

It is not a de Polignac number, because 13042324013 - 2⁴ = 13042323997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13042324013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13042324003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6521162006 + 6521162007.

It is an arithmetic number, because the mean of its divisors is an integer number (6521162007).

Almost surely, 2^13042324013 is an apocalyptic number.

It is an amenable number.

13042324013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13042324013 is an equidigital number, since it uses as much as digits as its factorization.

13042324013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13042324013 its reverse (31042324031), we get a palindrome (44084648044).

The spelling of 13042324013 in words is "thirteen billion, forty-two million, three hundred twenty-four thousand, thirteen".