33133133000 has 256 divisors, whose sum is σ = 88884656640. Its totient is φ = 11442816000.

The previous prime is 33133132987. The next prime is 33133133003. The reversal of 33133133000 is 33133133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (33133133003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43768622 + ... + 43769378.

It is an arithmetic number, because the mean of its divisors is an integer number (347205690).

Almost surely, 2^33133133000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33133133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44442328320).

33133133000 is an abundant number, since it is smaller than the sum of its proper divisors (55751523640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33133133000 is a wasteful number, since it uses less digits than its factorization.

33133133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 33133133000 its reverse (33133133), we get a palindrome (33166266133).

33133133000 divided by its reverse (33133133) gives a cube (1000 = 10³).

It can be divided in two parts, 3313 and 3133000, that added together give a palindrome (3136313).

The spelling of 33133133000 in words is "thirty-three billion, one hundred thirty-three million, one hundred thirty-three thousand".