11131131200 has 84 divisors (see below), whose sum is σ = 31302362592. Its totient is φ = 3816384000.

The previous prime is 11131131181. The next prime is 11131131223. The reversal of 11131131200 is 213113111.

It is a happy number.

11131131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11131131200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 485726 + ... + 508125.

Almost surely, 2^11131131200 is an apocalyptic number.

11131131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131131200 is an abundant number, since it is smaller than the sum of its proper divisors (20171231392).

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

11131131200 is an equidigital number, since it uses as much as digits as its factorization.

11131131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993880 (or 993865 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11131131200 its reverse (213113111), we get a palindrome (11344244311).

The spelling of 11131131200 in words is "eleven billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred".