13123110329 has 16 divisors (see below), whose sum is σ = 15224616960. Its totient is φ = 11079121680.

The previous prime is 13123110293. The next prime is 13123110349. The reversal of 13123110329 is 92301132131.

13123110329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13123110329 - 2²⁰ = 13122061753 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13123110298 and 13123110307.

It is not an unprimeable number, because it can be changed into a prime (13123110349) 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 in 15 ways as a sum of consecutive naturals, for example, 158192 + ... + 226430.

It is an arithmetic number, because the mean of its divisors is an integer number (951538560).

Almost surely, 2^13123110329 is an apocalyptic number.

It is an amenable number.

13123110329 is a deficient number, since it is larger than the sum of its proper divisors (2101506631).

13123110329 is an equidigital number, since it uses as much as digits as its factorization.

13123110329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68660.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 13123110329 in words is "thirteen billion, one hundred twenty-three million, one hundred ten thousand, three hundred twenty-nine".