13013021111013 has 48 divisors (see below), whose sum is σ = 24242797987200. Its totient is φ = 6526907130240.

The previous prime is 13013021110981. The next prime is 13013021111039. The reversal of 13013021111013 is 31011112031031.

13013021111013 is a `hidden beast` number, since 1 + 301 + 30 + 211 + 110 + 13 = 666.

It is not a de Polignac number, because 13013021111013 - 2⁵ = 13013021110981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013021111113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323735218 + ... + 323775411.

It is an arithmetic number, because the mean of its divisors is an integer number (505058291400).

Almost surely, 2^{13013021111013} is an apocalyptic number.

It is an amenable number.

13013021111013 is a deficient number, since it is larger than the sum of its proper divisors (11229776876187).

13013021111013 is a wasteful number, since it uses less digits than its factorization.

13013021111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647510682 (or 647510679 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13013021111013 its reverse (31011112031031), we get a palindrome (44024133142044).

The spelling of 13013021111013 in words is "thirteen trillion, thirteen billion, twenty-one million, one hundred eleven thousand, thirteen".