13021612031 has 32 divisors (see below), whose sum is σ = 13898777088. Its totient is φ = 12182814720.

The previous prime is 13021612003. The next prime is 13021612049.

13021612031 is nontrivially palindromic in base 10.

13021612031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13021612031 - 2¹⁰ = 13021611007 is a prime.

It is a super-2 number, since 2×13021612031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13021611994 and 13021612012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021612231) 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 in 31 ways as a sum of consecutive naturals, for example, 30072791 + ... + 30073223.

It is an arithmetic number, because the mean of its divisors is an integer number (434336784).

Almost surely, 2^13021612031 is an apocalyptic number.

13021612031 is a deficient number, since it is larger than the sum of its proper divisors (877165057).

13021612031 is a wasteful number, since it uses less digits than its factorization.

13021612031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 13021612031 in words is "thirteen billion, twenty-one million, six hundred twelve thousand, thirty-one".