431331262133134 has 192 divisors, whose sum is σ = 799184049979392. Its totient is φ = 173575353600000.

The previous prime is 431331262133089. The next prime is 431331262133141.

431331262133134 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1416878079 + ... + 1417182469.

It is an arithmetic number, because the mean of its divisors is an integer number (4162416926976).

Almost surely, 2^{431331262133134} is an apocalyptic number.

431331262133134 is a deficient number, since it is larger than the sum of its proper divisors (367852787846258).

431331262133134 is a wasteful number, since it uses less digits than its factorization.

431331262133134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304775 (or 304764 counting only the distinct ones).

The product of its digits is 279936, while the sum is 40.

The spelling of 431331262133134 in words is "four hundred thirty-one trillion, three hundred thirty-one billion, two hundred sixty-two million, one hundred thirty-three thousand, one hundred thirty-four".