2001300200 has 96 divisors (see below), whose sum is σ = 4845861720. Its totient is φ = 768000000.

The previous prime is 2001300187. The next prime is 2001300209. The reversal of 2001300200 is 20031002.

It can be written as a sum of positive squares in 12 ways, for example, as 685497124 + 1315803076 = 26182^2 + 36274^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2001300209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498200 + ... + 502200.

Almost surely, 2^2001300200 is an apocalyptic number.

2001300200 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 2001300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422930860).

2001300200 is an abundant number, since it is smaller than the sum of its proper divisors (2844561520).

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

2001300200 is a wasteful number, since it uses less digits than its factorization.

2001300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2001300200 is about 44735.8938661116. The cubic root of 2001300200 is about 1260.1940156433.

Adding to 2001300200 its reverse (20031002), we get a palindrome (2021331202).

The spelling of 2001300200 in words is "two billion, one million, three hundred thousand, two hundred".