2001313320000 has 1120 divisors, whose sum is σ = 7251918643200. Its totient is φ = 485222400000.

The previous prime is 2001313319977. The next prime is 2001313320001. The reversal of 2001313320000 is 233131002.

It is a super-3 number, since 3×2001313320000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2001313320001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7384919865 + ... + 7384920135.

It is an arithmetic number, because the mean of its divisors is an integer number (6474927360).

Almost surely, 2^{2001313320000} is an apocalyptic number.

2001313320000 is a gapful number since it is divisible by the number (20) 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 2001313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625959321600).

2001313320000 is an abundant number, since it is smaller than the sum of its proper divisors (5250605323200).

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

2001313320000 is a wasteful number, since it uses less digits than its factorization.

2001313320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2001313320000 its reverse (233131002), we get a palindrome (2001546451002).

The spelling of 2001313320000 in words is "two trillion, one billion, three hundred thirteen million, three hundred twenty thousand".