312324242423213 has 8 divisors (see below), whose sum is σ = 333970477048440. Its totient is φ = 291041810060800.

The previous prime is 312324242423159. The next prime is 312324242423233.

312324242423213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 221903865087844 + 90420377335369 = 14896438^2 + 9508963^2 .

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 312324242423213 - 2¹⁸ = 312324242161069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312324242423233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90950563928 + ... + 90950567361.

It is an arithmetic number, because the mean of its divisors is an integer number (41746309631055).

Almost surely, 2^{312324242423213} is an apocalyptic number.

It is an amenable number.

312324242423213 is a deficient number, since it is larger than the sum of its proper divisors (21646234625227).

312324242423213 is a wasteful number, since it uses less digits than its factorization.

312324242423213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181901131407.

The product of its digits is 331776, while the sum is 38.

The spelling of 312324242423213 in words is "three hundred twelve trillion, three hundred twenty-four billion, two hundred forty-two million, four hundred twenty-three thousand, two hundred thirteen".