13113024013 has 2 divisors, whose sum is σ = 13113024014. Its totient is φ = 13113024012.

The previous prime is 13113023993. The next prime is 13113024031. The reversal of 13113024013 is 31042031131.

13113024013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13113024031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13106357289 + 6666724 = 114483^2 + 2582^2 .

It is an emirp because it is prime and its reverse (31042031131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13113024013 - 2⁵ = 13113023981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13113024053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556512006 + 6556512007.

It is an arithmetic number, because the mean of its divisors is an integer number (6556512007).

Almost surely, 2^13113024013 is an apocalyptic number.

It is an amenable number.

13113024013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113024013 is an equidigital number, since it uses as much as digits as its factorization.

13113024013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13113024013 its reverse (31042031131), we get a palindrome (44155055144).

The spelling of 13113024013 in words is "thirteen billion, one hundred thirteen million, twenty-four thousand, thirteen".