13010401031 has 16 divisors (see below), whose sum is σ = 13906287360. Its totient is φ = 12137016960.

The previous prime is 13010400979. The next prime is 13010401039.

13010401031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13010401031 - 2¹⁸ = 13010138887 is a prime.

It is a super-2 number, since 2×13010401031² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13010400997 and 13010401015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010401039) 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, 320351 + ... + 358671.

It is an arithmetic number, because the mean of its divisors is an integer number (869142960).

Almost surely, 2^13010401031 is an apocalyptic number.

13010401031 is a deficient number, since it is larger than the sum of its proper divisors (895886329).

13010401031 is a wasteful number, since it uses less digits than its factorization.

13010401031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38614.

The product of its (nonzero) digits is 36, while the sum is 14.

The spelling of 13010401031 in words is "thirteen billion, ten million, four hundred one thousand, thirty-one".