312131100000409 has 2 divisors, whose sum is σ = 312131100000410. Its totient is φ = 312131100000408.

The previous prime is 312131100000389. The next prime is 312131100000431. The reversal of 312131100000409 is 904000001131213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210592426310809 + 101538673689600 = 14511803^2 + 10076640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312131100000409 is a prime.

It is not a weakly prime, because it can be changed into another prime (312131100000439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065550000204 + 156065550000205.

It is an arithmetic number, because the mean of its divisors is an integer number (156065550000205).

Almost surely, 2^{312131100000409} is an apocalyptic number.

It is an amenable number.

312131100000409 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131100000409 is an equidigital number, since it uses as much as digits as its factorization.

312131100000409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 312131100000409 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred million, four hundred nine", and thus it is an aban number.