312221000122213 has 64 divisors (see below), whose sum is σ = 388800475176960. Its totient is φ = 244130187168000.

The previous prime is 312221000122201. The next prime is 312221000122243.

312221000122213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312221000122213 - 2¹⁷ = 312220999991141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312221000122243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33793804248 + ... + 33793813486.

It is an arithmetic number, because the mean of its divisors is an integer number (6075007424640).

Almost surely, 2^{312221000122213} is an apocalyptic number.

It is an amenable number.

312221000122213 is a deficient number, since it is larger than the sum of its proper divisors (76579475054747).

312221000122213 is a wasteful number, since it uses less digits than its factorization.

312221000122213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15818.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 312221000 and 122213, that added together give a palindrome (312343213).

The spelling of 312221000122213 in words is "three hundred twelve trillion, two hundred twenty-one billion, one hundred twenty-two thousand, two hundred thirteen".