312404132303209 has 2 divisors, whose sum is σ = 312404132303210. Its totient is φ = 312404132303208.

The previous prime is 312404132303189. The next prime is 312404132303227. The reversal of 312404132303209 is 902303231404213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302007396289600 + 10396736013609 = 17378360^2 + 3224397^2 .

It is a cyclic number.

It is not a de Polignac number, because 312404132303209 - 2¹⁵ = 312404132270441 is a prime.

It is a super-3 number, since 3×312404132303209³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (312404132343209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156202066151604 + 156202066151605.

It is an arithmetic number, because the mean of its divisors is an integer number (156202066151605).

Almost surely, 2^{312404132303209} is an apocalyptic number.

It is an amenable number.

312404132303209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312404132303209 is an equidigital number, since it uses as much as digits as its factorization.

312404132303209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 312404132303209 in words is "three hundred twelve trillion, four hundred four billion, one hundred thirty-two million, three hundred three thousand, two hundred nine".