3001133104000 has 256 divisors, whose sum is σ = 7792634678400. Its totient is φ = 1147278950400.

The previous prime is 3001133103989. The next prime is 3001133104003. The reversal of 3001133104000 is 4013311003.

3001133104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001133104003) 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, 547949262 + ... + 547954738.

Almost surely, 2^{3001133104000} 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 3001133104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896317339200).

3001133104000 is an abundant number, since it is smaller than the sum of its proper divisors (4791501574400).

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

3001133104000 is a wasteful number, since it uses less digits than its factorization.

3001133104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 3001133104000 its reverse (4013311003), we get a palindrome (3005146415003).

The spelling of 3001133104000 in words is "three trillion, one billion, one hundred thirty-three million, one hundred four thousand".