200312301230100 has 216 divisors, whose sum is σ = 639825502031352. Its totient is φ = 52399646208000.

The previous prime is 200312301230051. The next prime is 200312301230113. The reversal of 200312301230100 is 1032103213002.

200312301230100 is a `hidden beast` number, since 2 + 0 + 0 + 31 + 2 + 301 + 230 + 100 = 666.

200312301230100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10684033598736 + 189628267631364 = 3268644^2 + 13770558^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276345744 + ... + 277069656.

It is an arithmetic number, because the mean of its divisors is an integer number (2962155101997).

Almost surely, 2^{200312301230100} is an apocalyptic number.

200312301230100 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 200312301230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319912751015676).

200312301230100 is an abundant number, since it is smaller than the sum of its proper divisors (439513200801252).

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

200312301230100 is a wasteful number, since it uses less digits than its factorization.

200312301230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729787 (or 729777 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200312301230100 its reverse (1032103213002), we get a palindrome (201344404443102).

The spelling of 200312301230100 in words is "two hundred trillion, three hundred twelve billion, three hundred one million, two hundred thirty thousand, one hundred".