431011313007 has 24 divisors (see below), whose sum is σ = 636219480960. Its totient is φ = 259339674000.

The previous prime is 431011312981. The next prime is 431011313023. The reversal of 431011313007 is 700313110134.

It is not a de Polignac number, because 431011313007 - 2¹⁸ = 431011050863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431011313077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4220619 + ... + 4321532.

It is an arithmetic number, because the mean of its divisors is an integer number (26509145040).

Almost surely, 2^431011313007 is an apocalyptic number.

431011313007 is a deficient number, since it is larger than the sum of its proper divisors (205208167953).

431011313007 is a wasteful number, since it uses less digits than its factorization.

431011313007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542315 (or 8542304 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 431011313007 in words is "four hundred thirty-one billion, eleven million, three hundred thirteen thousand, seven".