13112329 has 2 divisors, whose sum is σ = 13112330. Its totient is φ = 13112328.

The previous prime is 13112273. The next prime is 13112347. The reversal of 13112329 is 92321131.

13112329 is digitally balanced in base 3, 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., 9290304 + 3822025 = 3048^2 + 1955^2 .

It is a cyclic number.

It is not a de Polignac number, because 13112329 - 2¹³ = 13104137 is a prime.

It is a super-3 number, since 3×13112329³ (a number of 22 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556164 + 6556165.

It is an arithmetic number, because the mean of its divisors is an integer number (6556165).

Almost surely, 2^13112329 is an apocalyptic number.

It is an amenable number.

13112329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112329 is an equidigital number, since it uses as much as digits as its factorization.

13112329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 22.

The square root of 13112329 is about 3621.0950001346. The cubic root of 13112329 is about 235.8087661302.

The spelling of 13112329 in words is "thirteen million, one hundred twelve thousand, three hundred twenty-nine".