133323 has 8 divisors (see below), whose sum is σ = 187200. Its totient is φ = 84168.

The previous prime is 133321. The next prime is 133327. The reversal of 133323 is 323331.

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

It is not a de Polignac number, because 133323 - 2¹ = 133321 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3² + 3³ + 3³ + 2¹⁷ + 3⁷ .

133323 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (133321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1113 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2¹³³³²³ is an apocalyptic number.

133323 is a deficient number, since it is larger than the sum of its proper divisors (53877).

133323 is a wasteful number, since it uses less digits than its factorization.

133323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361.

The product of its digits is 162, while the sum is 15.

The square root of 133323 is about 365.1342218966. The cubic root of 133323 is about 51.0859757037.

Adding to 133323 its reverse (323331), we get a palindrome (456654).

The spelling of 133323 in words is "one hundred thirty-three thousand, three hundred twenty-three".