2001303320100 has 432 divisors, whose sum is σ = 6926130199296. Its totient is φ = 444600576000.

The previous prime is 2001303320099. The next prime is 2001303320117. The reversal of 2001303320100 is 10233031002.

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 2001303320100.

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 143 ways as a sum of consecutive naturals, for example, 163325574 + ... + 163337826.

Almost surely, 2^{2001303320100} is an apocalyptic number.

2001303320100 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 2001303320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463065099648).

2001303320100 is an abundant number, since it is smaller than the sum of its proper divisors (4924826879196).

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

2001303320100 is a wasteful number, since it uses less digits than its factorization.

2001303320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596 (or 12582 counting only the distinct ones).

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

Adding to 2001303320100 its reverse (10233031002), we get a palindrome (2011536351102).

The spelling of 2001303320100 in words is "two trillion, one billion, three hundred three million, three hundred twenty thousand, one hundred".