2001303002000 has 640 divisors, whose sum is σ = 5509845918720. Its totient is φ = 699007795200.

The previous prime is 2001303001991. The next prime is 2001303002009. The reversal of 2001303002000 is 2003031002.

It is an interprime number because it is at equal distance from previous prime (2001303001991) and next prime (2001303002009).

It is not an unprimeable number, because it can be changed into a prime (2001303002009) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4517613779 + ... + 4517614221.

It is an arithmetic number, because the mean of its divisors is an integer number (8609134248).

Almost surely, 2^{2001303002000} is an apocalyptic number.

2001303002000 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 2001303002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754922959360).

2001303002000 is an abundant number, since it is smaller than the sum of its proper divisors (3508542916720).

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

2001303002000 is a wasteful number, since it uses less digits than its factorization.

2001303002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 2001303002000 its reverse (2003031002), we get a palindrome (2003306033002).

The spelling of 2001303002000 in words is "two trillion, one billion, three hundred three million, two thousand".