13300313213129 has 2 divisors, whose sum is σ = 13300313213130. Its totient is φ = 13300313213128.

The previous prime is 13300313213021. The next prime is 13300313213179. The reversal of 13300313213129 is 92131231300331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8239397089225 + 5060916123904 = 2870435^2 + 2249648^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300313213129 - 2²⁴ = 13300296435913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13300313213095 and 13300313213104.

It is not a weakly prime, because it can be changed into another prime (13300313213179) 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, 6650156606564 + 6650156606565.

It is an arithmetic number, because the mean of its divisors is an integer number (6650156606565).

Almost surely, 2^{13300313213129} is an apocalyptic number.

It is an amenable number.

13300313213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300313213129 is an equidigital number, since it uses as much as digits as its factorization.

13300313213129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 13300313213129 in words is "thirteen trillion, three hundred billion, three hundred thirteen million, two hundred thirteen thousand, one hundred twenty-nine".