33330000000000 has 968 divisors, whose sum is σ = 122340231869472. Its totient is φ = 8000000000000.

The previous prime is 33329999999999. The next prime is 33330000000071. The reversal of 33330000000000 is 3333.

It is a super-2 number, since 2×33330000000000² (a number of 28 digits) contains 22 as substring.

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

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 329999999950 + ... + 330000000050.

Almost surely, 2^{33330000000000} is an apocalyptic number.

33330000000000 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 33330000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61170115934736).

33330000000000 is an abundant number, since it is smaller than the sum of its proper divisors (89010231869472).

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

33330000000000 is an frugal number, since it uses more digits than its factorization.

33330000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 122 counting only the distinct ones).

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

Adding to 33330000000000 its reverse (3333), we get a palindrome (33330000003333).

33330000000000 divided by its reverse (3333) gives a 10-th power (10000000000 = 10¹⁰).

It can be divided in two parts, 33 and 330000000000, that multiplied together give a square (10890000000000 = 3300000²).

The spelling of 33330000000000 in words is "thirty-three trillion, three hundred thirty billion", and thus it is an aban number.