131312312129 has 2 divisors, whose sum is σ = 131312312130. Its totient is φ = 131312312128.

The previous prime is 131312312123. The next prime is 131312312191. The reversal of 131312312129 is 921213213131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130360713025 + 951599104 = 361055^2 + 30848^2 .

It is a cyclic number.

It is not a de Polignac number, because 131312312129 - 2⁴ = 131312312113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131312312123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656156064 + 65656156065.

It is an arithmetic number, because the mean of its divisors is an integer number (65656156065).

Almost surely, 2^131312312129 is an apocalyptic number.

It is an amenable number.

131312312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131312312129 is an equidigital number, since it uses as much as digits as its factorization.

131312312129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 29.

The spelling of 131312312129 in words is "one hundred thirty-one billion, three hundred twelve million, three hundred twelve thousand, one hundred twenty-nine".