200313331010100 has 432 divisors, whose sum is σ = 783022368360960. Its totient is φ = 41611736966400.

The previous prime is 200313331010077. The next prime is 200313331010113. The reversal of 200313331010100 is 1010133313002.

It is a happy number.

200313331010100 is a `hidden beast` number, since 2 + 0 + 0 + 313 + 331 + 0 + 10 + 10 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 244844319 + ... + 245661081.

Almost surely, 2^{200313331010100} is an apocalyptic number.

200313331010100 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 200313331010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391511184180480).

200313331010100 is an abundant number, since it is smaller than the sum of its proper divisors (582709037350860).

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

200313331010100 is a wasteful number, since it uses less digits than its factorization.

200313331010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820340 (or 820330 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 200313331010100 its reverse (1010133313002), we get a palindrome (201323464323102).

The spelling of 200313331010100 in words is "two hundred trillion, three hundred thirteen billion, three hundred thirty-one million, ten thousand, one hundred".