1001303320200 has 192 divisors, whose sum is σ = 3191503230720. Its totient is φ = 259538688000.

The previous prime is 1001303320187. The next prime is 1001303320211. The reversal of 1001303320200 is 20233031001.

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 1001303320200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6591502 + ... + 6741698.

It is an arithmetic number, because the mean of its divisors is an integer number (16622412660).

Almost surely, 2^{1001303320200} is an apocalyptic number.

1001303320200 is a gapful number since it is divisible by the number (10) 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 1001303320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595751615360).

1001303320200 is an abundant number, since it is smaller than the sum of its proper divisors (2190199910520).

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

1001303320200 is a wasteful number, since it uses less digits than its factorization.

1001303320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150528 (or 150519 counting only the distinct ones).

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

Adding to 1001303320200 its reverse (20233031001), we get a palindrome (1021536351201).

The spelling of 1001303320200 in words is "one trillion, one billion, three hundred three million, three hundred twenty thousand, two hundred".