312423324213 has 64 divisors (see below), whose sum is σ = 560042348544. Its totient is φ = 149615424000.

The previous prime is 312423324167. The next prime is 312423324221.

It is a happy number.

312423324213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312423324213 - 2⁸ = 312423323957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312423324253) 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, 2216928 + ... + 2353638.

It is an arithmetic number, because the mean of its divisors is an integer number (8750661696).

Almost surely, 2^312423324213 is an apocalyptic number.

312423324213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312423324213 is a deficient number, since it is larger than the sum of its proper divisors (247619024331).

312423324213 is a wasteful number, since it uses less digits than its factorization.

312423324213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137506.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 312423 and 324213, that added together give a palindrome (636636).

The spelling of 312423324213 in words is "three hundred twelve billion, four hundred twenty-three million, three hundred twenty-four thousand, two hundred thirteen".