1312013331289 has 2 divisors, whose sum is σ = 1312013331290. Its totient is φ = 1312013331288.

The previous prime is 1312013331269. The next prime is 1312013331331. The reversal of 1312013331289 is 9821333102131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1235414466064 + 76598865225 = 1111492^2 + 276765^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312013331289 - 2¹⁷ = 1312013200217 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312013331269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656006665644 + 656006665645.

It is an arithmetic number, because the mean of its divisors is an integer number (656006665645).

Almost surely, 2^{1312013331289} is an apocalyptic number.

It is an amenable number.

1312013331289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312013331289 is an equidigital number, since it uses as much as digits as its factorization.

1312013331289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

It can be divided in two parts, 13120 and 13331289, that added together give a square (13344409 = 3653²).

The spelling of 1312013331289 in words is "one trillion, three hundred twelve billion, thirteen million, three hundred thirty-one thousand, two hundred eighty-nine".