133301313 has 24 divisors (see below), whose sum is σ = 199917120. Its totient is φ = 85488480.

The previous prime is 133301303. The next prime is 133301323. The reversal of 133301313 is 313103331.

It is an interprime number because it is at equal distance from previous prime (133301303) and next prime (133301323).

It is not a de Polignac number, because 133301313 - 2⁶ = 133301249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133301303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85620 + ... + 87162.

It is an arithmetic number, because the mean of its divisors is an integer number (8329880).

Almost surely, 2^133301313 is an apocalyptic number.

It is an amenable number.

133301313 is a deficient number, since it is larger than the sum of its proper divisors (66615807).

133301313 is a wasteful number, since it uses less digits than its factorization.

133301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 133301313 is about 11545.6187794332. The cubic root of 133301313 is about 510.8320558491.

Adding to 133301313 its reverse (313103331), we get a palindrome (446404644).

The spelling of 133301313 in words is "one hundred thirty-three million, three hundred one thousand, three hundred thirteen".