133133133 has 16 divisors (see below), whose sum is σ = 213547520. Its totient is φ = 72071856.

The previous prime is 133133123. The next prime is 133133153. The reversal of 133133133 is 331331331.

It is not a de Polignac number, because 133133133 - 2⁵ = 133133101 is a prime.

It is a super-2 number, since 2×133133133² = 35448862204791378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a Duffinian number.

133133133 is a modest number, since divided by 133133 gives 133 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166435 + ... + 167232.

It is an arithmetic number, because the mean of its divisors is an integer number (13346720).

Almost surely, 2^133133133 is an apocalyptic number.

It is an amenable number.

133133133 is a deficient number, since it is larger than the sum of its proper divisors (80414387).

133133133 is a wasteful number, since it uses less digits than its factorization.

133133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333696.

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

The square root of 133133133 is about 11538.3331985170. Note that the first 3 decimals coincide. The cubic root of 133133133 is about 510.6171345083.

Adding to 133133133 its reverse (331331331), we get a palindrome (464464464).

The spelling of 133133133 in words is "one hundred thirty-three million, one hundred thirty-three thousand, one hundred thirty-three".