201313103113200 has 960 divisors, whose sum is σ = 726043125265920. Its totient is φ = 47362996961280.

The previous prime is 201313103113181. The next prime is 201313103113223. The reversal of 201313103113200 is 2311301313102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5790999019 + ... + 5791033781.

It is an arithmetic number, because the mean of its divisors is an integer number (756294922152).

Almost surely, 2^{201313103113200} is an apocalyptic number.

201313103113200 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 201313103113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363021562632960).

201313103113200 is an abundant number, since it is smaller than the sum of its proper divisors (524730022152720).

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

201313103113200 is a wasteful number, since it uses less digits than its factorization.

201313103113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35026 (or 35015 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 201313103113200 its reverse (2311301313102), we get a palindrome (203624404426302).

The spelling of 201313103113200 in words is "two hundred one trillion, three hundred thirteen billion, one hundred three million, one hundred thirteen thousand, two hundred".