133319 has 2 divisors, whose sum is σ = 133320. Its totient is φ = 133318.

The previous prime is 133303. The next prime is 133321. The reversal of 133319 is 913331.

It is a strong prime.

It is an emirp because it is prime and its reverse (913331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133319 - 2⁴ = 133303 is a prime.

It is a super-2 number, since 2×133319² = 35547911522, which contains 22 as substring.

Together with 133321, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133349) 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, 66659 + 66660.

It is an arithmetic number, because the mean of its divisors is an integer number (66660).

2¹³³³¹⁹ is an apocalyptic number.

133319 is a deficient number, since it is larger than the sum of its proper divisors (1).

133319 is an equidigital number, since it uses as much as digits as its factorization.

133319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 20.

The square root of 133319 is about 365.1287444176. The cubic root of 133319 is about 51.0854647992.

The spelling of 133319 in words is "one hundred thirty-three thousand, three hundred nineteen".