200321311113000 has 1024 divisors, whose sum is σ = 866031409152000. Its totient is φ = 41614290432000.

The previous prime is 200321311112987. The next prime is 200321311113019. The reversal of 200321311113000 is 311113123002.

200321311113000 is a `hidden beast` number, since 2 + 0 + 0 + 321 + 31 + 1 + 11 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9727630704 + ... + 9727651296.

It is an arithmetic number, because the mean of its divisors is an integer number (845733798000).

Almost surely, 2^{200321311113000} is an apocalyptic number.

200321311113000 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 200321311113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433015704576000).

200321311113000 is an abundant number, since it is smaller than the sum of its proper divisors (665710098039000).

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

200321311113000 is a wasteful number, since it uses less digits than its factorization.

200321311113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25320 (or 25300 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 200321311113000 its reverse (311113123002), we get a palindrome (200632424236002).

The spelling of 200321311113000 in words is "two hundred trillion, three hundred twenty-one billion, three hundred eleven million, one hundred thirteen thousand".