311002202200113 has 24 divisors (see below), whose sum is σ = 459696820975392. Its totient is φ = 202502349520128.

The previous prime is 311002202200093. The next prime is 311002202200117.

311002202200113 is a `hidden beast` number, since 3 + 110 + 0 + 220 + 220 + 0 + 113 = 666.

311002202200113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311002202200113 - 2¹⁸ = 311002201937969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311002202200117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13925931 + ... + 28564592.

It is an arithmetic number, because the mean of its divisors is an integer number (19154034207308).

Almost surely, 2^{311002202200113} is an apocalyptic number.

It is an amenable number.

311002202200113 is a deficient number, since it is larger than the sum of its proper divisors (148694618775279).

311002202200113 is a wasteful number, since it uses less digits than its factorization.

311002202200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42509485 (or 42509482 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, 31100220 and 2200113, that added together give a palindrome (33300333).

The spelling of 311002202200113 in words is "three hundred eleven trillion, two billion, two hundred two million, two hundred thousand, one hundred thirteen".