312343234120369 has 2 divisors, whose sum is σ = 312343234120370. Its totient is φ = 312343234120368.

The previous prime is 312343234120283. The next prime is 312343234120409. The reversal of 312343234120369 is 963021432343213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300953520352144 + 11389713768225 = 17348012^2 + 3374865^2 .

It is a cyclic number.

It is not a de Polignac number, because 312343234120369 - 2⁷ = 312343234120241 is a prime.

It is a super-2 number, since 2×312343234120369² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312343234100369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156171617060184 + 156171617060185.

It is an arithmetic number, because the mean of its divisors is an integer number (156171617060185).

Almost surely, 2^{312343234120369} is an apocalyptic number.

It is an amenable number.

312343234120369 is a deficient number, since it is larger than the sum of its proper divisors (1).

312343234120369 is an equidigital number, since it uses as much as digits as its factorization.

312343234120369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1679616, while the sum is 46.

The spelling of 312343234120369 in words is "three hundred twelve trillion, three hundred forty-three billion, two hundred thirty-four million, one hundred twenty thousand, three hundred sixty-nine".