311211121112113 has 16 divisors (see below), whose sum is σ = 312112479096000. Its totient is φ = 310310980761600.

The previous prime is 311211121112057. The next prime is 311211121112141.

311211121112113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311211121112113 - 2⁹ = 311211121111601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311211121115113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3053403393 + ... + 3053505313.

It is an arithmetic number, because the mean of its divisors is an integer number (19507029943500).

Almost surely, 2^{311211121112113} is an apocalyptic number.

It is an amenable number.

311211121112113 is a deficient number, since it is larger than the sum of its proper divisors (901357983887).

311211121112113 is a wasteful number, since it uses less digits than its factorization.

311211121112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107808.

The product of its digits is 72, while the sum is 22.

The spelling of 311211121112113 in words is "three hundred eleven trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred thirteen".