1131103323200 has 168 divisors, whose sum is σ = 2948947708392. Its totient is φ = 425537044480.

The previous prime is 1131103323199. The next prime is 1131103323263. The reversal of 1131103323200 is 23233011311.

It can be written as a sum of positive squares in 12 ways, for example, as 598308438016 + 532794885184 = 773504^2 + 729928^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42228212 + ... + 42254988.

It is an arithmetic number, because the mean of its divisors is an integer number (17553260169).

Almost surely, 2^{1131103323200} is an apocalyptic number.

1131103323200 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 1131103323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474473854196).

1131103323200 is an abundant number, since it is smaller than the sum of its proper divisors (1817844385192).

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

1131103323200 is a wasteful number, since it uses less digits than its factorization.

1131103323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28369 (or 28354 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1131103323200 its reverse (23233011311), we get a palindrome (1154336334511).

The spelling of 1131103323200 in words is "one trillion, one hundred thirty-one billion, one hundred three million, three hundred twenty-three thousand, two hundred".