431011313031 has 24 divisors (see below), whose sum is σ = 655040565120. Its totient is φ = 251277844896.

The previous prime is 431011313023. The next prime is 431011313041. The reversal of 431011313031 is 130313110134.

It is not a de Polignac number, because 431011313031 - 2³ = 431011313023 is a prime.

It is a super-2 number, since 2×431011313031² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431011312989 and 431011313007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431011313041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22361971 + ... + 22381236.

It is an arithmetic number, because the mean of its divisors is an integer number (27293356880).

Almost surely, 2^431011313031 is an apocalyptic number.

431011313031 is a deficient number, since it is larger than the sum of its proper divisors (224029252089).

431011313031 is a wasteful number, since it uses less digits than its factorization.

431011313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44743255 (or 44743242 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 431011313031 its reverse (130313110134), we get a palindrome (561324423165).

The spelling of 431011313031 in words is "four hundred thirty-one billion, eleven million, three hundred thirteen thousand, thirty-one".