133133 has 24 divisors (see below), whose sum is σ = 191520. Its totient is φ = 90720.

The previous prime is 133121. The next prime is 133153. The reversal of 133133 is 331331.

It is not a de Polignac number, because 133133 - 2⁴ = 133117 is a prime.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6998 + ... + 7016.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2¹³³¹³³ is an apocalyptic number.

133133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133133 is a deficient number, since it is larger than the sum of its proper divisors (58387).

133133 is a wasteful number, since it uses less digits than its factorization.

133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 50 counting only the distinct ones).

The product of its digits is 81, while the sum is 14.

The square root of 133133 is about 364.8739508378. The cubic root of 133133 is about 51.0616964473.

Adding to 133133 its reverse (331331), we get a palindrome (464464).

The spelling of 133133 in words is "one hundred thirty-three thousand, one hundred thirty-three".