133331313 has 8 divisors (see below), whose sum is σ = 182579968. Its totient is φ = 86485104.

The previous prime is 133331291. The next prime is 133331321. The reversal of 133331313 is 313133331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133331313 - 2²⁰ = 132282737 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133331313.

It is not an unprimeable number, because it can be changed into a prime (133331333) 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 7 ways as a sum of consecutive naturals, for example, 600481 + ... + 600702.

It is an arithmetic number, because the mean of its divisors is an integer number (22822496).

Almost surely, 2^133331313 is an apocalyptic number.

It is an amenable number.

133331313 is a deficient number, since it is larger than the sum of its proper divisors (49248655).

133331313 is a wasteful number, since it uses less digits than its factorization.

133331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201223.

The product of its digits is 729, while the sum is 21.

The square root of 133331313 is about 11546.9179004616. The cubic root of 133331313 is about 510.8703745819.

Adding to 133331313 its reverse (313133331), we get a palindrome (446464644).

The spelling of 133331313 in words is "one hundred thirty-three million, three hundred thirty-one thousand, three hundred thirteen".