311202202113 has 48 divisors (see below), whose sum is σ = 519381720000. Its totient is φ = 177459287040.

The previous prime is 311202202081. The next prime is 311202202117.

311202202113 is a `hidden beast` number, since 311 + 20 + 220 + 2 + 113 = 666.

311202202113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311202202113 - 2⁵ = 311202202081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311202202117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5930013 + ... + 5982261.

It is an arithmetic number, because the mean of its divisors is an integer number (10820452500).

Almost surely, 2^311202202113 is an apocalyptic number.

311202202113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311202202113 is a deficient number, since it is larger than the sum of its proper divisors (208179517887).

311202202113 is a wasteful number, since it uses less digits than its factorization.

311202202113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55822 (or 55819 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, 311202 and 202113, that added together give a palindrome (513315).

The spelling of 311202202113 in words is "three hundred eleven billion, two hundred two million, two hundred two thousand, one hundred thirteen".