131112000329 has 2 divisors, whose sum is σ = 131112000330. Its totient is φ = 131112000328.

The previous prime is 131112000301. The next prime is 131112000359. The reversal of 131112000329 is 923000211131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69406956304 + 61705044025 = 263452^2 + 248405^2 .

It is a cyclic number.

It is not a de Polignac number, because 131112000329 - 2⁸ = 131112000073 is a prime.

It is a super-2 number, since 2×131112000329² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131112000359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65556000164 + 65556000165.

It is an arithmetic number, because the mean of its divisors is an integer number (65556000165).

Almost surely, 2^131112000329 is an apocalyptic number.

It is an amenable number.

131112000329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131112000329 is an equidigital number, since it uses as much as digits as its factorization.

131112000329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 131112000329 in words is "one hundred thirty-one billion, one hundred twelve million, three hundred twenty-nine", and thus it is an aban number.