11131325200 has 60 divisors (see below), whose sum is σ = 27665210340. Its totient is φ = 4298990080.

The previous prime is 11131325197. The next prime is 11131325221. The reversal of 11131325200 is 252313111.

It can be written as a sum of positive squares in 6 ways, for example, as 570063376 + 10561261824 = 23876^2 + 102768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468199 + ... + 491398.

It is an arithmetic number, because the mean of its divisors is an integer number (461086839).

Almost surely, 2^11131325200 is an apocalyptic number.

11131325200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131325200 is an abundant number, since it is smaller than the sum of its proper divisors (16533885140).

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

11131325200 is a wasteful number, since it uses less digits than its factorization.

11131325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959644 (or 959633 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 11131325200 its reverse (252313111), we get a palindrome (11383638311).

The spelling of 11131325200 in words is "eleven billion, one hundred thirty-one million, three hundred twenty-five thousand, two hundred".