33000000330000 has 400 divisors, whose sum is σ = 123048869207616. Its totient is φ = 7529410560000.

The previous prime is 33000000329999. The next prime is 33000000330001. The reversal of 33000000330000 is 3300000033.

It is an interprime number because it is at equal distance from previous prime (33000000329999) and next prime (33000000330001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (33000000330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2668824 + ... + 8551176.

Almost surely, 2^{33000000330000} is an apocalyptic number.

33000000330000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33000000330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61524434603808).

33000000330000 is an abundant number, since it is smaller than the sum of its proper divisors (90048868877616).

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

33000000330000 is a wasteful number, since it uses less digits than its factorization.

33000000330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882412 (or 5882391 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 12.

Adding to 33000000330000 its reverse (3300000033), we get a palindrome (33003300330033).

33000000330000 divided by its reverse (3300000033) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 33000000 and 330000, that multiplied together give a square (10890000000000 = 3300000²).

The spelling of 33000000330000 in words is "thirty-three trillion, three hundred thirty thousand".