13000319 has 12 divisors (see below), whose sum is σ = 13629600. Its totient is φ = 12396384.

The previous prime is 13000307. The next prime is 13000327. The reversal of 13000319 is 91300031.

13000319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13000319 - 2⁴ = 13000303 is a prime.

It is a super-2 number, since 2×13000319² = 338016588203522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000297 and 13000306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146027 + ... + 146115.

It is an arithmetic number, because the mean of its divisors is an integer number (1135800).

Almost surely, 2^13000319 is an apocalyptic number.

13000319 is a deficient number, since it is larger than the sum of its proper divisors (629281).

13000319 is an frugal number, since it uses more digits than its factorization.

13000319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 13000319 is about 3605.5955125333. The cubic root of 13000319 is about 235.1353920275.

The spelling of 13000319 in words is "thirteen million, three hundred nineteen", and thus it is an aban number.