200303303313000 has 384 divisors, whose sum is σ = 633592302295680. Its totient is φ = 52685104435200.

The previous prime is 200303303312933. The next prime is 200303303313097. The reversal of 200303303313000 is 313303303002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13288873464 + ... + 13288888536.

It is an arithmetic number, because the mean of its divisors is an integer number (1649979953895).

Almost surely, 2^{200303303313000} is an apocalyptic number.

200303303313000 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 200303303313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316796151147840).

200303303313000 is an abundant number, since it is smaller than the sum of its proper divisors (433288998982680).

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

200303303313000 is a wasteful number, since it uses less digits than its factorization.

200303303313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15906 (or 15809 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 200303303313000 its reverse (313303303002), we get a palindrome (200616606616002).

The spelling of 200303303313000 in words is "two hundred trillion, three hundred three billion, three hundred three million, three hundred thirteen thousand".