133000319 has 2 divisors, whose sum is σ = 133000320. Its totient is φ = 133000318.

The previous prime is 133000297. The next prime is 133000321. The reversal of 133000319 is 913000331.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 133000319 - 2¹² = 132996223 is a prime.

It is a super-2 number, since 2×133000319² = 35378169708203522, which contains 22 as substring.

Together with 133000321, 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 133000319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133000349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66500159 + 66500160.

It is an arithmetic number, because the mean of its divisors is an integer number (66500160).

Almost surely, 2^133000319 is an apocalyptic number.

133000319 is a deficient number, since it is larger than the sum of its proper divisors (1).

133000319 is an equidigital number, since it uses as much as digits as its factorization.

133000319 is an evil number, because the sum of its binary digits is even.

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

The square root of 133000319 is about 11532.5764250665. The cubic root of 133000319 is about 510.4472803015.

The spelling of 133000319 in words is "one hundred thirty-three million, three hundred nineteen", and thus it is an aban number.