133302305 has 16 divisors (see below), whose sum is σ = 164675280. Its totient is φ = 103514112.

The previous prime is 133302289. The next prime is 133302317. The reversal of 133302305 is 503203331.

It can be written as a sum of positive squares in 8 ways, for example, as 4048144 + 129254161 = 2012^2 + 11369^2 .

It is a cyclic number.

It is not a de Polignac number, because 133302305 - 2⁴ = 133302289 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141797 + ... + 142733.

It is an arithmetic number, because the mean of its divisors is an integer number (10292205).

Almost surely, 2^133302305 is an apocalyptic number.

It is an amenable number.

133302305 is a deficient number, since it is larger than the sum of its proper divisors (31372975).

133302305 is an equidigital number, since it uses as much as digits as its factorization.

133302305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748.

The product of its (nonzero) digits is 810, while the sum is 20.

The square root of 133302305 is about 11545.6617393721. The cubic root of 133302305 is about 510.8333230138.

Adding to 133302305 its reverse (503203331), we get a palindrome (636505636).

The spelling of 133302305 in words is "one hundred thirty-three million, three hundred two thousand, three hundred five".