312333220012311 has 8 divisors (see below), whose sum is σ = 462715881499760. Its totient is φ = 208222146674856.

The previous prime is 312333220012283. The next prime is 312333220012327. The reversal of 312333220012311 is 113210022333213.

312333220012311 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 332 + 2 + 0 + 0 + 12 + 311 = 666.

It is not a de Polignac number, because 312333220012311 - 2⁵ = 312333220012279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11567897037493 = 312333220012311 / (3 + 1 + 2 + 3 + 3 + 3 + 2 + 2 + 0 + 0 + 1 + 2 + 3 + 1 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312333220012211) 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, 5783948518720 + ... + 5783948518773.

It is an arithmetic number, because the mean of its divisors is an integer number (57839485187470).

Almost surely, 2^{312333220012311} is an apocalyptic number.

312333220012311 is a deficient number, since it is larger than the sum of its proper divisors (150382661487449).

312333220012311 is a wasteful number, since it uses less digits than its factorization.

312333220012311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11567897037502 (or 11567897037496 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 312333220012311 its reverse (113210022333213), we get a palindrome (425543242345524).

The spelling of 312333220012311 in words is "three hundred twelve trillion, three hundred thirty-three billion, two hundred twenty million, twelve thousand, three hundred eleven".