33133313020000 has 240 divisors, whose sum is σ = 87083783519040. Its totient is φ = 12368372544000.

The previous prime is 33133313019979. The next prime is 33133313020007. The reversal of 33133313020000 is 2031333133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33133313020007) 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 39 ways as a sum of consecutive naturals, for example, 24809307 + ... + 26110693.

It is an arithmetic number, because the mean of its divisors is an integer number (362849097996).

Almost surely, 2^{33133313020000} 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 33133313020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43541891759520).

33133313020000 is an abundant number, since it is smaller than the sum of its proper divisors (53950470499040).

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

33133313020000 is a wasteful number, since it uses less digits than its factorization.

33133313020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301503 (or 1301480 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 33133313020000 its reverse (2031333133), we get a palindrome (33135344353133).

The spelling of 33133313020000 in words is "thirty-three trillion, one hundred thirty-three billion, three hundred thirteen million, twenty thousand".