431114444131113 has 24 divisors (see below), whose sum is σ = 625983277891296. Its totient is φ = 285905254521600.

The previous prime is 431114444131093. The next prime is 431114444131169. The reversal of 431114444131113 is 311131444411134.

431114444131113 is a `hidden beast` number, since 4 + 31 + 1 + 1 + 44 + 441 + 31 + 113 = 666.

It is not a de Polignac number, because 431114444131113 - 2¹⁰ = 431114444130089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (431114444131013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52626120 + ... + 60263897.

It is an arithmetic number, because the mean of its divisors is an integer number (26082636578804).

Almost surely, 2^{431114444131113} is an apocalyptic number.

It is an amenable number.

431114444131113 is a deficient number, since it is larger than the sum of its proper divisors (194868833760183).

431114444131113 is a wasteful number, since it uses less digits than its factorization.

431114444131113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112892245 (or 112892242 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 431114444131113 its reverse (311131444411134), we get a palindrome (742245888542247).

The spelling of 431114444131113 in words is "four hundred thirty-one trillion, one hundred fourteen billion, four hundred forty-four million, one hundred thirty-one thousand, one hundred thirteen".