1312129578289 has 2 divisors, whose sum is σ = 1312129578290. Its totient is φ = 1312129578288.

The previous prime is 1312129578271. The next prime is 1312129578299. The reversal of 1312129578289 is 9828759212131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1215770864400 + 96358713889 = 1102620^2 + 310417^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312129578289 - 2²⁵ = 1312096023857 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312129578269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656064789144 + 656064789145.

It is an arithmetic number, because the mean of its divisors is an integer number (656064789145).

Almost surely, 2^{1312129578289} is an apocalyptic number.

It is an amenable number.

1312129578289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312129578289 is an equidigital number, since it uses as much as digits as its factorization.

1312129578289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4354560, while the sum is 58.

The spelling of 1312129578289 in words is "one trillion, three hundred twelve billion, one hundred twenty-nine million, five hundred seventy-eight thousand, two hundred eighty-nine".