431210000012134 has 256 divisors, whose sum is σ = 799086643200000. Its totient is φ = 170615841177600.

The previous prime is 431210000012039. The next prime is 431210000012149.

431210000012134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×431210000012134² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 345244194742 + ... + 345244195990.

It is an arithmetic number, because the mean of its divisors is an integer number (3121432200000).

Almost surely, 2^{431210000012134} is an apocalyptic number.

431210000012134 is a deficient number, since it is larger than the sum of its proper divisors (367876643187866).

431210000012134 is a wasteful number, since it uses less digits than its factorization.

431210000012134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 4312100000 and 12134, that added together give a palindrome (4312112134).

The spelling of 431210000012134 in words is "four hundred thirty-one trillion, two hundred ten billion, twelve thousand, one hundred thirty-four".