312223000322213 has 8 divisors (see below), whose sum is σ = 312895000745208. Its totient is φ = 311551592757184.

The previous prime is 312223000322197. The next prime is 312223000322237.

312223000322213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 225251804449 + 311997748517764 = 474607^2 + 17663458^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312223000322213 - 2⁴ = 312223000322197 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 (312223000322813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147160070 + ... + 149266647.

It is an arithmetic number, because the mean of its divisors is an integer number (39111875093151).

Almost surely, 2^{312223000322213} is an apocalyptic number.

It is an amenable number.

312223000322213 is a deficient number, since it is larger than the sum of its proper divisors (672000422995).

312223000322213 is a wasteful number, since it uses less digits than its factorization.

312223000322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296428983.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 312223000 and 322213, that added together give a palindrome (312545213).

The spelling of 312223000322213 in words is "three hundred twelve trillion, two hundred twenty-three billion, three hundred twenty-two thousand, two hundred thirteen".