312131310309199 has 2 divisors, whose sum is σ = 312131310309200. Its totient is φ = 312131310309198.

The previous prime is 312131310309131. The next prime is 312131310309211. The reversal of 312131310309199 is 991903013131213.

It is a strong prime.

It is an emirp because it is prime and its reverse (991903013131213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312131310309199 - 2⁹ = 312131310308687 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312131310309799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065655154599 + 156065655154600.

It is an arithmetic number, because the mean of its divisors is an integer number (156065655154600).

Almost surely, 2^{312131310309199} is an apocalyptic number.

312131310309199 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131310309199 is an equidigital number, since it uses as much as digits as its factorization.

312131310309199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118098, while the sum is 46.

The spelling of 312131310309199 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred ten million, three hundred nine thousand, one hundred ninety-nine".