133031313 has 6 divisors (see below), whose sum is σ = 192156354. Its totient is φ = 88687536.

The previous prime is 133031299. The next prime is 133031377. The reversal of 133031313 is 313130331.

It can be written as a sum of positive squares in only one way, i.e., 122611329 + 10419984 = 11073^2 + 3228^2 .

It is not a de Polignac number, because 133031313 - 2¹⁷ = 132900241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133031513) 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 in 5 ways as a sum of consecutive naturals, for example, 7390620 + ... + 7390637.

It is an arithmetic number, because the mean of its divisors is an integer number (32026059).

Almost surely, 2^133031313 is an apocalyptic number.

It is an amenable number.

133031313 is a deficient number, since it is larger than the sum of its proper divisors (59125041).

133031313 is a wasteful number, since it uses less digits than its factorization.

133031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14781263 (or 14781260 counting only the distinct ones).

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

The square root of 133031313 is about 11533.9201054975. The cubic root of 133031313 is about 510.4869282620.

Adding to 133031313 its reverse (313130331), we get a palindrome (446161644).

The spelling of 133031313 in words is "one hundred thirty-three million, thirty-one thousand, three hundred thirteen".