33020013120000 has 400 divisors, whose sum is σ = 109983380202432. Its totient is φ = 8800583680000.

The previous prime is 33020013119983. The next prime is 33020013120043. The reversal of 33020013120000 is 2131002033.

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 (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2003511760 + ... + 2003528240.

Almost surely, 2^{33020013120000} is an apocalyptic number.

33020013120000 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 33020013120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54991690101216).

33020013120000 is an abundant number, since it is smaller than the sum of its proper divisors (76963367082432).

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

33020013120000 is an equidigital number, since it uses as much as digits as its factorization.

33020013120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18609 (or 18578 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 33020013120000 its reverse (2131002033), we get a palindrome (33022144122033).

The spelling of 33020013120000 in words is "thirty-three trillion, twenty billion, thirteen million, one hundred twenty thousand".