13312323112129 has 2 divisors, whose sum is σ = 13312323112130. Its totient is φ = 13312323112128.

The previous prime is 13312323112097. The next prime is 13312323112177. The reversal of 13312323112129 is 92121132321331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8986954730625 + 4325368381504 = 2997825^2 + 2079752^2 .

It is a cyclic number.

It is not a de Polignac number, because 13312323112129 - 2⁵ = 13312323112097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13312323112094 and 13312323112103.

It is not a weakly prime, because it can be changed into another prime (13312323112189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656161556064 + 6656161556065.

It is an arithmetic number, because the mean of its divisors is an integer number (6656161556065).

Almost surely, 2^{13312323112129} is an apocalyptic number.

It is an amenable number.

13312323112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312323112129 is an equidigital number, since it uses as much as digits as its factorization.

13312323112129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 34.

The spelling of 13312323112129 in words is "thirteen trillion, three hundred twelve billion, three hundred twenty-three million, one hundred twelve thousand, one hundred twenty-nine".