2001303103200 has 288 divisors, whose sum is σ = 6801688164096. Its totient is φ = 510160527360.

The previous prime is 2001303103153. The next prime is 2001303103207. The reversal of 2001303103200 is 23013031002.

It is a super-2 number, since 2×2001303103200² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2001303103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001303103207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96424024 + ... + 96444776.

It is an arithmetic number, because the mean of its divisors is an integer number (23616972792).

Almost surely, 2^{2001303103200} is an apocalyptic number.

2001303103200 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 2001303103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400844082048).

2001303103200 is an abundant number, since it is smaller than the sum of its proper divisors (4800385060896).

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

2001303103200 is a wasteful number, since it uses less digits than its factorization.

2001303103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22546 (or 22533 counting only the distinct ones).

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

Adding to 2001303103200 its reverse (23013031002), we get a palindrome (2024316134202).

The spelling of 2001303103200 in words is "two trillion, one billion, three hundred three million, one hundred three thousand, two hundred".