31114444441113 has 24 divisors (see below), whose sum is σ = 49058410710816. Its totient is φ = 18845858606400.

The previous prime is 31114444441111. The next prime is 31114444441153.

31114444441113 is a `hidden beast` number, since 31 + 1 + 144 + 44 + 441 + 1 + 1 + 3 = 666.

31114444441113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31114444441113 - 2¹ = 31114444441111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31114444441111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94672203 + ... + 95000288.

It is an arithmetic number, because the mean of its divisors is an integer number (2044100446284).

Almost surely, 2^{31114444441113} is an apocalyptic number.

31114444441113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31114444441113 is a deficient number, since it is larger than the sum of its proper divisors (17943966269703).

31114444441113 is a wasteful number, since it uses less digits than its factorization.

31114444441113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189674165 (or 189674162 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 3111444 and 4441113, that added together give a palindrome (7552557).

The spelling of 31114444441113 in words is "thirty-one trillion, one hundred fourteen billion, four hundred forty-four million, four hundred forty-one thousand, one hundred thirteen".