11131040000 has 180 divisors, whose sum is σ = 28174228236. Its totient is φ = 4386816000.

The previous prime is 11131039993. The next prime is 11131040069. The reversal of 11131040000 is 4013111.

It can be written as a sum of positive squares in 10 ways, for example, as 8632639744 + 2498400256 = 92912^2 + 49984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11679524 + ... + 11680476.

Almost surely, 2^11131040000 is an apocalyptic number.

11131040000 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 11131040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087114118).

11131040000 is an abundant number, since it is smaller than the sum of its proper divisors (17043188236).

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

11131040000 is an frugal number, since it uses more digits than its factorization.

11131040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11131040000 its reverse (4013111), we get a palindrome (11135053111).

The spelling of 11131040000 in words is "eleven billion, one hundred thirty-one million, forty thousand".