311214242412113 has 16 divisors (see below), whose sum is σ = 335153682249984. Its totient is φ = 287925143761920.

The previous prime is 311214242412109. The next prime is 311214242412149.

311214242412113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311214242412113 - 2² = 311214242412109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311214242412113.

It is not an unprimeable number, because it can be changed into a prime (311214242411113) 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 15 ways as a sum of consecutive naturals, for example, 382146845 + ... + 382960362.

It is an arithmetic number, because the mean of its divisors is an integer number (20947105140624).

Almost surely, 2^{311214242412113} is an apocalyptic number.

It is an amenable number.

311214242412113 is a deficient number, since it is larger than the sum of its proper divisors (23939439837871).

311214242412113 is a wasteful number, since it uses less digits than its factorization.

311214242412113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765107632.

The product of its digits is 9216, while the sum is 32.

The spelling of 311214242412113 in words is "three hundred eleven trillion, two hundred fourteen billion, two hundred forty-two million, four hundred twelve thousand, one hundred thirteen".