431400401013 has 32 divisors (see below), whose sum is σ = 604873267200. Its totient is φ = 273124544000.

The previous prime is 431400400987. The next prime is 431400401021. The reversal of 431400401013 is 310104004134.

It is a cyclic number.

It is not a de Polignac number, because 431400401013 - 2²⁰ = 431399352437 is a prime.

It is a super-2 number, since 2×431400401013² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431400401023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333063 + ... + 1624763.

It is an arithmetic number, because the mean of its divisors is an integer number (18902289600).

Almost surely, 2^431400401013 is an apocalyptic number.

It is an amenable number.

431400401013 is a deficient number, since it is larger than the sum of its proper divisors (173472866187).

431400401013 is a wasteful number, since it uses less digits than its factorization.

431400401013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292013.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 431400401013 its reverse (310104004134), we get a palindrome (741504405147).

The spelling of 431400401013 in words is "four hundred thirty-one billion, four hundred million, four hundred one thousand, thirteen".