34313332131 has 64 divisors (see below), whose sum is σ = 57685196800. Its totient is φ = 19984071168.

The previous prime is 34313332091. The next prime is 34313332139. The reversal of 34313332131 is 13123331343.

34313332131 is a `hidden beast` number, since 3 + 4 + 313 + 332 + 13 + 1 = 666.

It is not a de Polignac number, because 34313332131 - 2¹⁷ = 34313201059 is a prime.

It is a super-2 number, since 2×34313332131² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34313332095 and 34313332104.

It is not an unprimeable number, because it can be changed into a prime (34313332139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8647710 + ... + 8651676.

It is an arithmetic number, because the mean of its divisors is an integer number (901331200).

Almost surely, 2^34313332131 is an apocalyptic number.

34313332131 is a deficient number, since it is larger than the sum of its proper divisors (23371864669).

34313332131 is a wasteful number, since it uses less digits than its factorization.

34313332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5299 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 34313332131 its reverse (13123331343), we get a palindrome (47436663474).

The spelling of 34313332131 in words is "thirty-four billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred thirty-one".