3001001313000 has 256 divisors, whose sum is σ = 9974745181440. Its totient is φ = 748569600000.

The previous prime is 3001001312963. The next prime is 3001001313007. The reversal of 3001001313000 is 3131001003.

3001001313000 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 (12).

It is not an unprimeable number, because it can be changed into a prime (3001001313007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8132500 + ... + 8493500.

It is an arithmetic number, because the mean of its divisors is an integer number (38963848365).

Almost surely, 2^{3001001313000} is an apocalyptic number.

3001001313000 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 3001001313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987372590720).

3001001313000 is an abundant number, since it is smaller than the sum of its proper divisors (6973743868440).

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

3001001313000 is a wasteful number, since it uses less digits than its factorization.

3001001313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361205 (or 361191 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 3001001313000 its reverse (3131001003), we get a palindrome (3004132314003).

The spelling of 3001001313000 in words is "three trillion, one billion, one million, three hundred thirteen thousand".