1113322113200 has 180 divisors, whose sum is σ = 2950446539544. Its totient is φ = 403408896000.

The previous prime is 1113322113181. The next prime is 1113322113209. The reversal of 1113322113200 is 23112233111.

It is a happy number.

It is a super-2 number, since 2×1113322113200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1113322113209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13656560 + ... + 13737840.

Almost surely, 2^{1113322113200} is an apocalyptic number.

1113322113200 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 1113322113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475223269772).

1113322113200 is an abundant number, since it is smaller than the sum of its proper divisors (1837124426344).

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

1113322113200 is a wasteful number, since it uses less digits than its factorization.

1113322113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81604 (or 81582 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1113322113200 its reverse (23112233111), we get a palindrome (1136434346311).

The spelling of 1113322113200 in words is "one trillion, one hundred thirteen billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred".