1312312012409 has 2 divisors, whose sum is σ = 1312312012410. Its totient is φ = 1312312012408.

The previous prime is 1312312012307. The next prime is 1312312012441. The reversal of 1312312012409 is 9042102132131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1281967417600 + 30344594809 = 1132240^2 + 174197^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312312012409 - 2²⁰ = 1312310963833 is a prime.

It is a super-3 number, since 3×1312312012409³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1312318012409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656156006204 + 656156006205.

It is an arithmetic number, because the mean of its divisors is an integer number (656156006205).

Almost surely, 2^{1312312012409} is an apocalyptic number.

It is an amenable number.

1312312012409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312312012409 is an equidigital number, since it uses as much as digits as its factorization.

1312312012409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 1312312012409 in words is "one trillion, three hundred twelve billion, three hundred twelve million, twelve thousand, four hundred nine".