311223222322113 has 32 divisors (see below), whose sum is σ = 441117521847936. Its totient is φ = 194502903211008.

The previous prime is 311223222322109. The next prime is 311223222322121.

It is a happy number.

311223222322113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311223222322113 - 2² = 311223222322109 is a prime.

It is a super-2 number, since 2×311223222322113² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311223222322813) 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 31 ways as a sum of consecutive naturals, for example, 35668195 + ... + 43527767.

It is an arithmetic number, because the mean of its divisors is an integer number (13784922557748).

Almost surely, 2^{311223222322113} is an apocalyptic number.

It is an amenable number.

311223222322113 is a deficient number, since it is larger than the sum of its proper divisors (129894299525823).

311223222322113 is a wasteful number, since it uses less digits than its factorization.

311223222322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862673.

The product of its digits is 10368, while the sum is 30.

The spelling of 311223222322113 in words is "three hundred eleven trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred thirteen".