33133340000 has 480 divisors, whose sum is σ = 95225518080. Its totient is φ = 11252736000.

The previous prime is 33133339979. The next prime is 33133340003. The reversal of 33133340000 is 4333133.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33133340003) 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 79 ways as a sum of consecutive naturals, for example, 148579889 + ... + 148580111.

It is an arithmetic number, because the mean of its divisors is an integer number (198386496).

Almost surely, 2^33133340000 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 33133340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47612759040).

33133340000 is an abundant number, since it is smaller than the sum of its proper divisors (62092178080).

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

33133340000 is a wasteful number, since it uses less digits than its factorization.

33133340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 33133340000 its reverse (4333133), we get a palindrome (33137673133).

The spelling of 33133340000 in words is "thirty-three billion, one hundred thirty-three million, three hundred forty thousand".