331312222213133 has 12 divisors (see below), whose sum is σ = 385445558158812. Its totient is φ = 283951292970240.

The previous prime is 331312222213109. The next prime is 331312222213171.

331312222213133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 184101125781769 + 147211096431364 = 13568387^2 + 12133058^2 .

It is not a de Polignac number, because 331312222213133 - 2⁸ = 331312222212877 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331312222213133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331312222213333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363966788 + ... + 364875933.

It is an arithmetic number, because the mean of its divisors is an integer number (32120463179901).

Almost surely, 2^{331312222213133} is an apocalyptic number.

It is an amenable number.

331312222213133 is a deficient number, since it is larger than the sum of its proper divisors (54133335945679).

331312222213133 is an equidigital number, since it uses as much as digits as its factorization.

331312222213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728852012 (or 728852005 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 331312222213133 in words is "three hundred thirty-one trillion, three hundred twelve billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred thirty-three".