13000400031 has 16 divisors (see below), whose sum is σ = 17807814144. Its totient is φ = 8430103584.

The previous prime is 13000400029. The next prime is 13000400057.

13000400031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13000400031 - 2¹ = 13000400029 is a prime.

It is a super-2 number, since 2×13000400031² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000400081) 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, 385990 + ... + 418316.

It is an arithmetic number, because the mean of its divisors is an integer number (1112988384).

Almost surely, 2^13000400031 is an apocalyptic number.

13000400031 is a deficient number, since it is larger than the sum of its proper divisors (4807414113).

13000400031 is a wasteful number, since it uses less digits than its factorization.

13000400031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35990.

The product of its (nonzero) digits is 36, while the sum is 12.

The spelling of 13000400031 in words is "thirteen billion, four hundred thousand, thirty-one".