312220022213 has 16 divisors (see below), whose sum is σ = 350198698752. Its totient is φ = 275891616000.

The previous prime is 312220022183. The next prime is 312220022243.

It is a happy number.

312220022213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (312220022183) and next prime (312220022243).

It is not a de Polignac number, because 312220022213 - 2²⁶ = 312152913349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220022243) 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 15 ways as a sum of consecutive naturals, for example, 1155056 + ... + 1399497.

It is an arithmetic number, because the mean of its divisors is an integer number (21887418672).

Almost surely, 2^312220022213 is an apocalyptic number.

It is an amenable number.

312220022213 is a deficient number, since it is larger than the sum of its proper divisors (37978676539).

312220022213 is a wasteful number, since it uses less digits than its factorization.

312220022213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554876.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 3122200 and 22213, that added together give a palindrome (3144413).

The spelling of 312220022213 in words is "three hundred twelve billion, two hundred twenty million, twenty-two thousand, two hundred thirteen".