13113300329 has 2 divisors, whose sum is σ = 13113300330. Its totient is φ = 13113300328.

The previous prime is 13113300271. The next prime is 13113300337. The reversal of 13113300329 is 92300331131.

13113300329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11120124304 + 1993176025 = 105452^2 + 44645^2 .

It is a cyclic number.

It is not a de Polignac number, because 13113300329 - 2⁸ = 13113300073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13113300298 and 13113300307.

It is not a weakly prime, because it can be changed into another prime (13113300349) 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, 6556650164 + 6556650165.

It is an arithmetic number, because the mean of its divisors is an integer number (6556650165).

Almost surely, 2^13113300329 is an apocalyptic number.

It is an amenable number.

13113300329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113300329 is an equidigital number, since it uses as much as digits as its factorization.

13113300329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 13113300329 in words is "thirteen billion, one hundred thirteen million, three hundred thousand, three hundred twenty-nine".