33020312002000 has 160 divisors (see below), whose sum is σ = 84056777700480. Its totient is φ = 12511263974400.

The previous prime is 33020312001973. The next prime is 33020312002031. The reversal of 33020312002000 is 20021302033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300411052 + ... + 300520948.

It is an arithmetic number, because the mean of its divisors is an integer number (525354860628).

Almost surely, 2^{33020312002000} 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 33020312002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42028388850240).

33020312002000 is an abundant number, since it is smaller than the sum of its proper divisors (51036465698480).

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

33020312002000 is a wasteful number, since it uses less digits than its factorization.

33020312002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117846 (or 117830 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 33020312002000 its reverse (20021302033), we get a palindrome (33040333304033).

The spelling of 33020312002000 in words is "thirty-three trillion, twenty billion, three hundred twelve million, two thousand".