11131300000 has 144 divisors (see below), whose sum is σ = 27605030040. Its totient is φ = 4417920000.

The previous prime is 11131299989. The next prime is 11131300021. The reversal of 11131300000 is 313111.

It can be written as a sum of positive squares in 12 ways, for example, as 8469152784 + 2662147216 = 92028^2 + 51596^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11131300000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15699646 + ... + 15700354.

Almost surely, 2^11131300000 is an apocalyptic number.

11131300000 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 11131300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13802515020).

11131300000 is an abundant number, since it is smaller than the sum of its proper divisors (16473730040).

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

11131300000 is an frugal number, since it uses more digits than its factorization.

11131300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11131300000 its reverse (313111), we get a palindrome (11131613111).

The spelling of 11131300000 in words is "eleven billion, one hundred thirty-one million, three hundred thousand".