311114242411113 has 32 divisors (see below), whose sum is σ = 440515165862016. Its totient is φ = 194633482272768.

The previous prime is 311114242411031. The next prime is 311114242411163.

It is a happy number.

311114242411113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311114242411113 - 2¹³ = 311114242402921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311114242411163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155759745 + ... + 157744497.

It is an arithmetic number, because the mean of its divisors is an integer number (13766098933188).

Almost surely, 2^{311114242411113} is an apocalyptic number.

It is an amenable number.

311114242411113 is a deficient number, since it is larger than the sum of its proper divisors (129400923450903).

311114242411113 is a wasteful number, since it uses less digits than its factorization.

311114242411113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993833.

The product of its digits is 2304, while the sum is 30.

The spelling of 311114242411113 in words is "three hundred eleven trillion, one hundred fourteen billion, two hundred forty-two million, four hundred eleven thousand, one hundred thirteen".