133300313 has 2 divisors, whose sum is σ = 133300314. Its totient is φ = 133300312.

The previous prime is 133300309. The next prime is 133300331. The reversal of 133300313 is 313003331.

Together with next prime (133300331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123832384 + 9467929 = 11128^2 + 3077^2 .

It is an emirp because it is prime and its reverse (313003331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133300313 - 2² = 133300309 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133300291 and 133300300.

It is not a weakly prime, because it can be changed into another prime (133300303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66650156 + 66650157.

It is an arithmetic number, because the mean of its divisors is an integer number (66650157).

Almost surely, 2^133300313 is an apocalyptic number.

It is an amenable number.

133300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

133300313 is an equidigital number, since it uses as much as digits as its factorization.

133300313 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 17.

The square root of 133300313 is about 11545.5754728814. The cubic root of 133300313 is about 510.8307784590.

Adding to 133300313 its reverse (313003331), we get a palindrome (446303644).

The spelling of 133300313 in words is "one hundred thirty-three million, three hundred thousand, three hundred thirteen".