311220022113 has 192 divisors, whose sum is σ = 621252882432. Its totient is φ = 144884298240.

The previous prime is 311220022093. The next prime is 311220022121.

311220022113 is a `hidden beast` number, since 311 + 220 + 0 + 22 + 113 = 666.

311220022113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311220022113 - 2¹⁷ = 311219891041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311220022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227665756 + ... + 227667122.

It is an arithmetic number, because the mean of its divisors is an integer number (3235692096).

Almost surely, 2^311220022113 is an apocalyptic number.

311220022113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311220022113 is a deficient number, since it is larger than the sum of its proper divisors (310032860319).

311220022113 is a wasteful number, since it uses less digits than its factorization.

311220022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 3112200 and 22113, that added together give a palindrome (3134313).

The spelling of 311220022113 in words is "three hundred eleven billion, two hundred twenty million, twenty-two thousand, one hundred thirteen".