311221141122113 has 32 divisors (see below), whose sum is σ = 332017713484800. Its totient is φ = 291095796378816.

The previous prime is 311221141122107. The next prime is 311221141122179.

311221141122113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311221141122113 - 2⁴ = 311221141122097 is a prime.

It is a super-3 number, since 3×311221141122113³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311221141122413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1570622198 + ... + 1570820336.

It is an arithmetic number, because the mean of its divisors is an integer number (10375553546400).

Almost surely, 2^{311221141122113} is an apocalyptic number.

It is an amenable number.

311221141122113 is a deficient number, since it is larger than the sum of its proper divisors (20796572362687).

311221141122113 is a wasteful number, since it uses less digits than its factorization.

311221141122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205701.

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

The spelling of 311221141122113 in words is "three hundred eleven trillion, two hundred twenty-one billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred thirteen".