3112112112113 has 8 divisors (see below), whose sum is σ = 3113912292840. Its totient is φ = 3110312427520.

The previous prime is 3112112112107. The next prime is 3112112112139.

3112112112113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 8373714064 + 3103738398049 = 91508^2 + 1761743^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3112112112113 - 2³⁶ = 3043392635377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3112112112163) 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 7 ways as a sum of consecutive naturals, for example, 12812273 + ... + 13052913.

It is an arithmetic number, because the mean of its divisors is an integer number (389239036605).

Almost surely, 2^{3112112112113} is an apocalyptic number.

It is an amenable number.

3112112112113 is a deficient number, since it is larger than the sum of its proper divisors (1800180727).

3112112112113 is a wasteful number, since it uses less digits than its factorization.

3112112112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248067.

The product of its digits is 72, while the sum is 20.

The spelling of 3112112112113 in words is "three trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred thirteen".