311122343221113 has 32 divisors (see below), whose sum is σ = 445096178415360. Its totient is φ = 192920943801600.

The previous prime is 311122343221097. The next prime is 311122343221169.

311122343221113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311122343221113 - 2⁴ = 311122343221097 is a prime.

It is a super-3 number, since 3×311122343221113³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (311122343220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478149445 + ... + 478799682.

It is an arithmetic number, because the mean of its divisors is an integer number (13909255575480).

Almost surely, 2^{311122343221113} is an apocalyptic number.

It is an amenable number.

311122343221113 is a deficient number, since it is larger than the sum of its proper divisors (133973835194247).

311122343221113 is a wasteful number, since it uses less digits than its factorization.

311122343221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956949297.

The product of its digits is 5184, while the sum is 30.

The spelling of 311122343221113 in words is "three hundred eleven trillion, one hundred twenty-two billion, three hundred forty-three million, two hundred twenty-one thousand, one hundred thirteen".