11131344200 has 96 divisors (see below), whose sum is σ = 26602437960. Its totient is φ = 4329062400.

The previous prime is 11131344193. The next prime is 11131344277. The reversal of 11131344200 is 244313111.

It can be written as a sum of positive squares in 12 ways, for example, as 4872319204 + 6259024996 = 69802^2 + 79114^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2564432 + ... + 2568768.

Almost surely, 2^11131344200 is an apocalyptic number.

11131344200 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 11131344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301218980).

11131344200 is an abundant number, since it is smaller than the sum of its proper divisors (15471093760).

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

11131344200 is a wasteful number, since it uses less digits than its factorization.

11131344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4707 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11131344200 its reverse (244313111), we get a palindrome (11375657311).

The spelling of 11131344200 in words is "eleven billion, one hundred thirty-one million, three hundred forty-four thousand, two hundred".