1312313129 has 2 divisors, whose sum is σ = 1312313130. Its totient is φ = 1312313128.

The previous prime is 1312313063. The next prime is 1312313131. The reversal of 1312313129 is 9213132131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1235663104 + 76650025 = 35152^2 + 8755^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312313129 - 2⁸ = 1312312873 is a prime.

Together with 1312313131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312313098 and 1312313107.

It is not a weakly prime, because it can be changed into another prime (1312313159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656156564 + 656156565.

It is an arithmetic number, because the mean of its divisors is an integer number (656156565).

Almost surely, 2^1312313129 is an apocalyptic number.

It is an amenable number.

1312313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312313129 is an equidigital number, since it uses as much as digits as its factorization.

1312313129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 26.

The square root of 1312313129 is about 36225.8627088438. The cubic root of 1312313129 is about 1094.8278202758.

The spelling of 1312313129 in words is "one billion, three hundred twelve million, three hundred thirteen thousand, one hundred twenty-nine".