312131302309 has 2 divisors, whose sum is σ = 312131302310. Its totient is φ = 312131302308.

The previous prime is 312131302213. The next prime is 312131302361. The reversal of 312131302309 is 903203131213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300314960100 + 11816342209 = 548010^2 + 108703^2 .

It is a cyclic number.

It is not a de Polignac number, because 312131302309 - 2²³ = 312122913701 is a prime.

It is a super-2 number, since 2×312131302309² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312131302409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065651154 + 156065651155.

It is an arithmetic number, because the mean of its divisors is an integer number (156065651155).

Almost surely, 2^312131302309 is an apocalyptic number.

It is an amenable number.

312131302309 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131302309 is an equidigital number, since it uses as much as digits as its factorization.

312131302309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 312131302309 in words is "three hundred twelve billion, one hundred thirty-one million, three hundred two thousand, three hundred nine".