2001330331320 has 192 divisors, whose sum is σ = 6131712545280. Its totient is φ = 522551065344.

The previous prime is 2001330331303. The next prime is 2001330331331. The reversal of 2001330331320 is 231330331002.

It is a super-2 number, since 2×2001330331320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89948437 + ... + 89970683.

It is an arithmetic number, because the mean of its divisors is an integer number (31936002840).

Almost surely, 2^{2001330331320} is an apocalyptic number.

2001330331320 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 2001330331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065856272640).

2001330331320 is an abundant number, since it is smaller than the sum of its proper divisors (4130382213960).

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

2001330331320 is a wasteful number, since it uses less digits than its factorization.

2001330331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22562 (or 22491 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2001330331320 its reverse (231330331002), we get a palindrome (2232660662322).

The spelling of 2001330331320 in words is "two trillion, one billion, three hundred thirty million, three hundred thirty-one thousand, three hundred twenty".