312300133331 has 2 divisors, whose sum is σ = 312300133332. Its totient is φ = 312300133330.

The previous prime is 312300133297. The next prime is 312300133333. The reversal of 312300133331 is 133331003213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312300133331 - 2⁶ = 312300133267 is a prime.

It is a super-2 number, since 2×312300133331² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 312300133333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312300133297 and 312300133306.

It is not a weakly prime, because it can be changed into another prime (312300133333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156150066665 + 156150066666.

It is an arithmetic number, because the mean of its divisors is an integer number (156150066666).

Almost surely, 2^312300133331 is an apocalyptic number.

312300133331 is a deficient number, since it is larger than the sum of its proper divisors (1).

312300133331 is an equidigital number, since it uses as much as digits as its factorization.

312300133331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 312300133331 its reverse (133331003213), we get a palindrome (445631136544).

The spelling of 312300133331 in words is "three hundred twelve billion, three hundred million, one hundred thirty-three thousand, three hundred thirty-one".