13008319 has 2 divisors, whose sum is σ = 13008320. Its totient is φ = 13008318.

The previous prime is 13008301. The next prime is 13008353. The reversal of 13008319 is 91380031.

13008319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13008319 - 2¹¹ = 13006271 is a prime.

It is a super-2 number, since 2×13008319² = 338432726411522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13008293 and 13008302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13008019) 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, 6504159 + 6504160.

It is an arithmetic number, because the mean of its divisors is an integer number (6504160).

Almost surely, 2^13008319 is an apocalyptic number.

13008319 is a deficient number, since it is larger than the sum of its proper divisors (1).

13008319 is an equidigital number, since it uses as much as digits as its factorization.

13008319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 13008319 is about 3606.7047286963. The cubic root of 13008319 is about 235.1836138549.

The spelling of 13008319 in words is "thirteen million, eight thousand, three hundred nineteen".