311121020121113 has 32 divisors (see below), whose sum is σ = 334779586866432. Its totient is φ = 288490004352000.

The previous prime is 311121020121077. The next prime is 311121020121139.

311121020121113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311121020121113 - 2⁶ = 311121020121049 is a prime.

It is a super-2 number, since 2×311121020121113² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311121020621113) 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, 16536458 + ... + 29928188.

It is an arithmetic number, because the mean of its divisors is an integer number (10461862089576).

Almost surely, 2^{311121020121113} is an apocalyptic number.

It is an amenable number.

311121020121113 is a deficient number, since it is larger than the sum of its proper divisors (23658566745319).

311121020121113 is a wasteful number, since it uses less digits than its factorization.

311121020121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13392065.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 311121020121113 in words is "three hundred eleven trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, one hundred thirteen".