33002013000 has 256 divisors, whose sum is σ = 113757696000. Its totient is φ = 7898592000.

The previous prime is 33002012999. The next prime is 33002013019. The reversal of 33002013000 is 31020033.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2600671 + ... + 2613329.

It is an arithmetic number, because the mean of its divisors is an integer number (444366000).

Almost surely, 2^33002013000 is an apocalyptic number.

33002013000 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 33002013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56878848000).

33002013000 is an abundant number, since it is smaller than the sum of its proper divisors (80755683000).

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

33002013000 is a wasteful number, since it uses less digits than its factorization.

33002013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12773 (or 12759 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 33002013000 its reverse (31020033), we get a palindrome (33033033033).

The spelling of 33002013000 in words is "thirty-three billion, two million, thirteen thousand".