331431134133 has 16 divisors (see below), whose sum is σ = 484098739200. Its totient is φ = 200026900080.

The previous prime is 331431134101. The next prime is 331431134149.

331431134133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331431134133 - 2⁵ = 331431134101 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331431134133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331431134633) 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, 21003343 + ... + 21019116.

It is an arithmetic number, because the mean of its divisors is an integer number (30256171200).

Almost surely, 2^331431134133 is an apocalyptic number.

331431134133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331431134133 is a deficient number, since it is larger than the sum of its proper divisors (152667605067).

331431134133 is a wasteful number, since it uses less digits than its factorization.

331431134133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42022712.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 331431 and 134133, that added together give a palindrome (465564).

The spelling of 331431134133 in words is "three hundred thirty-one billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred thirty-three".