3033213313000 has 128 divisors (see below), whose sum is σ = 7654501764000. Its totient is φ = 1118372659200.

The previous prime is 3033213312991. The next prime is 3033213313007. The reversal of 3033213313000 is 3133123303.

3033213313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1443510937444 + 1589702375556 = 1201462^2 + 1260834^2 .

It is not an unprimeable number, because it can be changed into a prime (3033213313007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9052456 + ... + 9381544.

Almost surely, 2^{3033213313000} 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 3033213313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827250882000).

3033213313000 is an abundant number, since it is smaller than the sum of its proper divisors (4621288451000).

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

3033213313000 is a wasteful number, since it uses less digits than its factorization.

3033213313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329832 (or 329818 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 3033213313000 its reverse (3133123303), we get a palindrome (3036346436303).

The spelling of 3033213313000 in words is "three trillion, thirty-three billion, two hundred thirteen million, three hundred thirteen thousand".