1312312129 has 2 divisors, whose sum is σ = 1312312130. Its totient is φ = 1312312128.

The previous prime is 1312312109. The next prime is 1312312139. The reversal of 1312312129 is 9212132131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1312250625 + 61504 = 36225^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312312129 - 2¹¹ = 1312310081 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312312109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656156064 + 656156065.

It is an arithmetic number, because the mean of its divisors is an integer number (656156065).

Almost surely, 2^1312312129 is an apocalyptic number.

It is an amenable number.

1312312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312312129 is an equidigital number, since it uses as much as digits as its factorization.

1312312129 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1312312129 is about 36225.8489065474. The cubic root of 1312312129 is about 1094.8275421846.

It can be divided in two parts, 13123 and 12129, that added together give a palindrome (25252).

The spelling of 1312312129 in words is "one billion, three hundred twelve million, three hundred twelve thousand, one hundred twenty-nine".