133130313 has 6 divisors (see below), whose sum is σ = 192299354. Its totient is φ = 88753536.

The previous prime is 133130303. The next prime is 133130317. The reversal of 133130313 is 313031331.

It can be written as a sum of positive squares in only one way, i.e., 86713344 + 46416969 = 9312^2 + 6813^2 .

It is not a de Polignac number, because 133130313 - 2⁸ = 133130057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133130317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7396120 + ... + 7396137.

Almost surely, 2^133130313 is an apocalyptic number.

It is an amenable number.

133130313 is a deficient number, since it is larger than the sum of its proper divisors (59169041).

133130313 is a wasteful number, since it uses less digits than its factorization.

133130313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14792263 (or 14792260 counting only the distinct ones).

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

The square root of 133130313 is about 11538.2109965107. The cubic root of 133130313 is about 510.6135292187.

Adding to 133130313 its reverse (313031331), we get a palindrome (446161644).

The spelling of 133130313 in words is "one hundred thirty-three million, one hundred thirty thousand, three hundred thirteen".