311112404211113 has 16 divisors (see below), whose sum is σ = 314930123516736. Its totient is φ = 307296345692160.

The previous prime is 311112404211107. The next prime is 311112404211157.

311112404211113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311112404211113 - 2³² = 311108109243817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311112404211163) 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, 9429632345 + ... + 9429665337.

It is an arithmetic number, because the mean of its divisors is an integer number (19683132719796).

Almost surely, 2^{311112404211113} is an apocalyptic number.

It is an amenable number.

311112404211113 is a deficient number, since it is larger than the sum of its proper divisors (3817719305623).

311112404211113 is a wasteful number, since it uses less digits than its factorization.

311112404211113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54664.

The product of its (nonzero) digits is 576, while the sum is 26.

It can be divided in two parts, 31111240 and 4211113, that added together give a palindrome (35322353).

The spelling of 311112404211113 in words is "three hundred eleven trillion, one hundred twelve billion, four hundred four million, two hundred eleven thousand, one hundred thirteen".