33300133133 has 8 divisors (see below), whose sum is σ = 34601980416. Its totient is φ = 32012514000.

The previous prime is 33300133127. The next prime is 33300133151. The reversal of 33300133133 is 33133100333.

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

It is a cyclic number.

It is not a de Polignac number, because 33300133133 - 2²⁶ = 33233024269 is a prime.

It is a super-3 number, since 3×33300133133³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33300133099 and 33300133108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33300132133) 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 7 ways as a sum of consecutive naturals, for example, 3552266 + ... + 3561627.

It is an arithmetic number, because the mean of its divisors is an integer number (4325247552).

Almost surely, 2^33300133133 is an apocalyptic number.

It is an amenable number.

33300133133 is a deficient number, since it is larger than the sum of its proper divisors (1301847283).

33300133133 is a wasteful number, since it uses less digits than its factorization.

33300133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114075.

The product of its (nonzero) digits is 2187, while the sum is 23.

Adding to 33300133133 its reverse (33133100333), we get a palindrome (66433233466).

The spelling of 33300133133 in words is "thirty-three billion, three hundred million, one hundred thirty-three thousand, one hundred thirty-three".