33133011002000 has 960 divisors, whose sum is σ = 101709479551680. Its totient is φ = 10346434560000.

The previous prime is 33133011001991. The next prime is 33133011002033. The reversal of 33133011002000 is 20011033133.

It can be written as a sum of positive squares in 32 ways, for example, as 29023130585344 + 4109880416656 = 5387312^2 + 2027284^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33133011002000.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 55129801700 + ... + 55129802300.

It is an arithmetic number, because the mean of its divisors is an integer number (105947374533).

Almost surely, 2^{33133011002000} 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 33133011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50854739775840).

33133011002000 is an abundant number, since it is smaller than the sum of its proper divisors (68576468549680).

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

33133011002000 is a wasteful number, since it uses less digits than its factorization.

33133011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 33133011002000 its reverse (20011033133), we get a palindrome (33153022035133).

The spelling of 33133011002000 in words is "thirty-three trillion, one hundred thirty-three billion, eleven million, two thousand".