31118400382113 has 96 divisors (see below), whose sum is σ = 51942209679360. Its totient is φ = 17754124216320.

The previous prime is 31118400382099. The next prime is 31118400382123. The reversal of 31118400382113 is 31128300481113.

31118400382113 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 8 + 400 + 38 + 211 + 3 = 666.

It is not a de Polignac number, because 31118400382113 - 2⁶ = 31118400382049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31118400382123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050111745 + ... + 1050141377.

It is an arithmetic number, because the mean of its divisors is an integer number (541064684160).

Almost surely, 2^{31118400382113} is an apocalyptic number.

31118400382113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31118400382113 is a deficient number, since it is larger than the sum of its proper divisors (20823809297247).

31118400382113 is a wasteful number, since it uses less digits than its factorization.

31118400382113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33179 (or 33176 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

It can be divided in two parts, 31118400 and 382113, that added together give a palindrome (31500513).

The spelling of 31118400382113 in words is "thirty-one trillion, one hundred eighteen billion, four hundred million, three hundred eighty-two thousand, one hundred thirteen".