1131300013200 has 240 divisors, whose sum is σ = 4385261646720. Its totient is φ = 243372072960.

The previous prime is 1131300013199. The next prime is 1131300013211. The reversal of 1131300013200 is 23100031311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131300013200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3818335 + ... + 4103934.

It is an arithmetic number, because the mean of its divisors is an integer number (18271923528).

Almost surely, 2^{1131300013200} is an apocalyptic number.

1131300013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131300013200 is an abundant number, since it is smaller than the sum of its proper divisors (3253961633520).

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

1131300013200 is a wasteful number, since it uses less digits than its factorization.

1131300013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922314 (or 7922303 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1131300013200 its reverse (23100031311), we get a palindrome (1154400044511).

The spelling of 1131300013200 in words is "one trillion, one hundred thirty-one billion, three hundred million, thirteen thousand, two hundred".