133296313 has 2 divisors, whose sum is σ = 133296314. Its totient is φ = 133296312.

The previous prime is 133296301. The next prime is 133296353. The reversal of 133296313 is 313692331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85229824 + 48066489 = 9232^2 + 6933^2 .

It is a cyclic number.

It is not a de Polignac number, because 133296313 - 2¹³ = 133288121 is a prime.

It is not a weakly prime, because it can be changed into another prime (133296353) 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, 66648156 + 66648157.

It is an arithmetic number, because the mean of its divisors is an integer number (66648157).

Almost surely, 2^133296313 is an apocalyptic number.

It is an amenable number.

133296313 is a deficient number, since it is larger than the sum of its proper divisors (1).

133296313 is an equidigital number, since it uses as much as digits as its factorization.

133296313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 31.

The square root of 133296313 is about 11545.4022450498. The cubic root of 133296313 is about 510.8256688347.

The spelling of 133296313 in words is "one hundred thirty-three million, two hundred ninety-six thousand, three hundred thirteen".