311221101122113 has 32 divisors (see below), whose sum is σ = 387680312678400. Its totient is φ = 243269354073600.

The previous prime is 311221101122101. The next prime is 311221101122153.

311221101122113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311221101122113 - 2³³ = 311212511187521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311221101122153) 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, 32847313 + ... + 41247886.

It is an arithmetic number, because the mean of its divisors is an integer number (12115009771200).

Almost surely, 2^{311221101122113} is an apocalyptic number.

It is an amenable number.

311221101122113 is a deficient number, since it is larger than the sum of its proper divisors (76459211556287).

311221101122113 is a wasteful number, since it uses less digits than its factorization.

311221101122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74095777.

The product of its (nonzero) digits is 144, while the sum is 22.

It can be divided in two parts, 31122110 and 1122113, that added together give a palindrome (32244223).

The spelling of 311221101122113 in words is "three hundred eleven trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, one hundred thirteen".