312002020113 has 16 divisors (see below), whose sum is σ = 476755983360. Its totient is φ = 177790243536.

The previous prime is 312002020103. The next prime is 312002020133. The reversal of 312002020113 is 311020200213.

It is not a de Polignac number, because 312002020113 - 2⁵ = 312002020081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312002020092 and 312002020101.

It is not an unprimeable number, because it can be changed into a prime (312002020103) 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 15 ways as a sum of consecutive naturals, for example, 20684995 + ... + 20700072.

It is an arithmetic number, because the mean of its divisors is an integer number (29797248960).

Almost surely, 2^312002020113 is an apocalyptic number.

It is an amenable number.

312002020113 is a deficient number, since it is larger than the sum of its proper divisors (164753963247).

312002020113 is a wasteful number, since it uses less digits than its factorization.

312002020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41385436.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312002020113 its reverse (311020200213), we get a palindrome (623022220326).

The spelling of 312002020113 in words is "three hundred twelve billion, two million, twenty thousand, one hundred thirteen".