13013122031013 has 96 divisors (see below), whose sum is σ = 20466243907200. Its totient is φ = 7322395272192.

The previous prime is 13013122031011. The next prime is 13013122031033. The reversal of 13013122031013 is 31013022131031.

It is a happy number.

It is not a de Polignac number, because 13013122031013 - 2¹ = 13013122031011 is a prime.

It is a super-2 number, since 2×13013122031013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013122031011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009310395 + ... + 1009323287.

It is an arithmetic number, because the mean of its divisors is an integer number (213190040700).

Almost surely, 2^{13013122031013} is an apocalyptic number.

13013122031013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13013122031013 is a deficient number, since it is larger than the sum of its proper divisors (7453121876187).

13013122031013 is a wasteful number, since it uses less digits than its factorization.

13013122031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16583 (or 16570 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13013122031013 its reverse (31013022131031), we get a palindrome (44026144162044).

The spelling of 13013122031013 in words is "thirteen trillion, thirteen billion, one hundred twenty-two million, thirty-one thousand, thirteen".