11321300113200 has 1440 divisors, whose sum is σ = 50931507174912. Its totient is φ = 2346236928000.

The previous prime is 11321300113199. The next prime is 11321300113219. The reversal of 11321300113200 is 231100312311.

11321300113200 is a `hidden beast` number, since 1 + 1 + 32 + 1 + 300 + 11 + 320 + 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 287 ways as a sum of consecutive naturals, for example, 3150930604 + ... + 3150934196.

Almost surely, 2^{11321300113200} is an apocalyptic number.

11321300113200 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 11321300113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25465753587456).

11321300113200 is an abundant number, since it is smaller than the sum of its proper divisors (39610207061712).

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

11321300113200 is a wasteful number, since it uses less digits than its factorization.

11321300113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4042 counting only the distinct ones).

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

Adding to 11321300113200 its reverse (231100312311), we get a palindrome (11552400425511).

The spelling of 11321300113200 in words is "eleven trillion, three hundred twenty-one billion, three hundred million, one hundred thirteen thousand, two hundred".