11311313230200 has 768 divisors, whose sum is σ = 38821265280000. Its totient is φ = 2715222343680.

The previous prime is 11311313230159. The next prime is 11311313230271. The reversal of 11311313230200 is 203231311311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2600897626 + ... + 2600901974.

It is an arithmetic number, because the mean of its divisors is an integer number (50548522500).

Almost surely, 2^{11311313230200} is an apocalyptic number.

11311313230200 is a gapful number since it is divisible by the number (10) 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 11311313230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19410632640000).

11311313230200 is an abundant number, since it is smaller than the sum of its proper divisors (27509952049800).

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

11311313230200 is a wasteful number, since it uses less digits than its factorization.

11311313230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4575 counting only the distinct ones).

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

Adding to 11311313230200 its reverse (203231311311), we get a palindrome (11514544541511).

The spelling of 11311313230200 in words is "eleven trillion, three hundred eleven billion, three hundred thirteen million, two hundred thirty thousand, two hundred".