133000321 has 2 divisors, whose sum is σ = 133000322. Its totient is φ = 133000320.

The previous prime is 133000319. The next prime is 133000349. The reversal of 133000321 is 123000331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67568400 + 65431921 = 8220^2 + 8089^2 .

It is an emirp because it is prime and its reverse (123000331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133000321 - 2¹ = 133000319 is a prime.

It is a super-2 number, since 2×133000321² = 35378170772206082, which contains 22 as substring.

Together with 133000319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (133000381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66500160 + 66500161.

It is an arithmetic number, because the mean of its divisors is an integer number (66500161).

Almost surely, 2^133000321 is an apocalyptic number.

It is an amenable number.

133000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

133000321 is an equidigital number, since it uses as much as digits as its factorization.

133000321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 133000321 is about 11532.5765117774. The cubic root of 133000321 is about 510.4472828601.

Adding to 133000321 its reverse (123000331), we get a palindrome (256000652).

The spelling of 133000321 in words is "one hundred thirty-three million, three hundred twenty-one", and thus it is an aban number.