312021120213 has 24 divisors (see below), whose sum is σ = 504958018656. Its totient is φ = 183992796000.

The previous prime is 312021120181. The next prime is 312021120227.

312021120213 is a `hidden beast` number, since 312 + 0 + 21 + 120 + 213 = 666.

312021120213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312021120213 - 2⁵ = 312021120181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312021120413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42587263 + ... + 42594588.

It is an arithmetic number, because the mean of its divisors is an integer number (21039917444).

Almost surely, 2^312021120213 is an apocalyptic number.

312021120213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312021120213 is a deficient number, since it is larger than the sum of its proper divisors (192936898443).

312021120213 is a wasteful number, since it uses less digits than its factorization.

312021120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85181905 (or 85181902 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, 312021 and 120213, that added together give a palindrome (432234).

The spelling of 312021120213 in words is "three hundred twelve billion, twenty-one million, one hundred twenty thousand, two hundred thirteen".