13013112102031 has 64 divisors (see below), whose sum is σ = 14527845964800. Its totient is φ = 11600291045376.

The previous prime is 13013112102013. The next prime is 13013112102047. The reversal of 13013112102031 is 13020121131031.

It is a cyclic number.

It is not a de Polignac number, because 13013112102031 - 2⁵ = 13013112101999 is a prime.

It is a super-2 number, since 2×13013112102031² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013112102131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14838211765 + ... + 14838212641.

It is an arithmetic number, because the mean of its divisors is an integer number (226997593200).

Almost surely, 2^{13013112102031} is an apocalyptic number.

13013112102031 is a deficient number, since it is larger than the sum of its proper divisors (1514733862769).

13013112102031 is a wasteful number, since it uses less digits than its factorization.

13013112102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 13013112102031 its reverse (13020121131031), we get a palindrome (26033233233062).

The spelling of 13013112102031 in words is "thirteen trillion, thirteen billion, one hundred twelve million, one hundred two thousand, thirty-one".