3013001320000 has 280 divisors, whose sum is σ = 8621568914816. Its totient is φ = 1022989824000.

The previous prime is 3013001319953. The next prime is 3013001320001. The reversal of 3013001320000 is 231003103.

3013001320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is not an unprimeable number, because it can be changed into a prime (3013001320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28787764 + ... + 28892236.

Almost surely, 2^{3013001320000} 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 3013001320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310784457408).

3013001320000 is an abundant number, since it is smaller than the sum of its proper divisors (5608567594816).

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

3013001320000 is a wasteful number, since it uses less digits than its factorization.

3013001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104615 (or 104590 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 3013001320000 its reverse (231003103), we get a palindrome (3013232323103).

The spelling of 3013001320000 in words is "three trillion, thirteen billion, one million, three hundred twenty thousand".