13021133112031 has 16 divisors (see below), whose sum is σ = 15004096386048. Its totient is φ = 11189134353600.

The previous prime is 13021133111971. The next prime is 13021133112037.

13021133112031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13021133112031 - 2³⁹ = 12471377298143 is a prime.

It is a super-2 number, since 2×13021133112031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13021133111993 and 13021133112011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021133112037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443998606 + ... + 444027931.

It is an arithmetic number, because the mean of its divisors is an integer number (937756024128).

Almost surely, 2^{13021133112031} is an apocalyptic number.

13021133112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13021133112031 is a deficient number, since it is larger than the sum of its proper divisors (1982963274017).

13021133112031 is a wasteful number, since it uses less digits than its factorization.

13021133112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888026622.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1302113 and 3112031, that added together give a palindrome (4414144).

The spelling of 13021133112031 in words is "thirteen trillion, twenty-one billion, one hundred thirty-three million, one hundred twelve thousand, thirty-one".