431133303331134 has 48 divisors (see below), whose sum is σ = 959432754694752. Its totient is φ = 139817681682624.

The previous prime is 431133303331111. The next prime is 431133303331141.

431133303331134 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 3 + 3 + 303 + 3 + 311 + 34 = 666.

431133303331134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11624049 + ... + 31581404.

It is an arithmetic number, because the mean of its divisors is an integer number (19988182389474).

Almost surely, 2^{431133303331134} is an apocalyptic number.

431133303331134 is an abundant number, since it is smaller than the sum of its proper divisors (528299451363618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431133303331134 is a wasteful number, since it uses less digits than its factorization.

431133303331134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43220481 (or 43220478 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

It can be divided in two parts, 43113330 and 3331134, that added together give a palindrome (46444464).

The spelling of 431133303331134 in words is "four hundred thirty-one trillion, one hundred thirty-three billion, three hundred three million, three hundred thirty-one thousand, one hundred thirty-four".