31124344342113 has 24 divisors (see below), whose sum is σ = 51625706726880. Its totient is φ = 17870436941760.

The previous prime is 31124344342103. The next prime is 31124344342177.

31124344342113 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 4 + 3 + 4 + 434 + 211 + 3 = 666.

31124344342113 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-31124344342113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31124344342103) by changing a digit.

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, 8273348556 + ... + 8273352317.

It is an arithmetic number, because the mean of its divisors is an integer number (2151071113620).

Almost surely, 2^{31124344342113} is an apocalyptic number.

31124344342113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31124344342113 is a deficient number, since it is larger than the sum of its proper divisors (20501362384767).

31124344342113 is a wasteful number, since it uses less digits than its factorization.

31124344342113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16546700909 (or 16546700906 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3112434 and 4342113, that added together give a palindrome (7454547).

The spelling of 31124344342113 in words is "thirty-one trillion, one hundred twenty-four billion, three hundred forty-four million, three hundred forty-two thousand, one hundred thirteen".