200130002001300 has 288 divisors, whose sum is σ = 701425820374272. Its totient is φ = 43007993118720.

The previous prime is 200130002001257. The next prime is 200130002001403. The reversal of 200130002001300 is 3100200031002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 31080924 + ... + 36963276.

It is an arithmetic number, because the mean of its divisors is an integer number (2435506320744).

Almost surely, 2^{200130002001300} is an apocalyptic number.

200130002001300 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 200130002001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350712910187136).

200130002001300 is an abundant number, since it is smaller than the sum of its proper divisors (501295818372972).

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

200130002001300 is a wasteful number, since it uses less digits than its factorization.

200130002001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883347 (or 5883340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 200130002001300 its reverse (3100200031002), we get a palindrome (203230202032302).

The spelling of 200130002001300 in words is "two hundred trillion, one hundred thirty billion, two million, one thousand, three hundred".