11311311200 has 144 divisors (see below), whose sum is σ = 31697658720. Its totient is φ = 3861073920.

The previous prime is 11311311103. The next prime is 11311311203. The reversal of 11311311200 is 211311311.

It is a happy number.

It is a super-2 number, since 2×11311311200² (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 not an unprimeable number, because it can be changed into a prime (11311311203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300466 + ... + 1309134.

It is an arithmetic number, because the mean of its divisors is an integer number (220122630).

Almost surely, 2^11311311200 is an apocalyptic number.

11311311200 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 11311311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15848829360).

11311311200 is an abundant number, since it is smaller than the sum of its proper divisors (20386347520).

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

11311311200 is a wasteful number, since it uses less digits than its factorization.

11311311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929 (or 8916 counting only the distinct ones).

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

Adding to 11311311200 its reverse (211311311), we get a palindrome (11522622511).

The spelling of 11311311200 in words is "eleven billion, three hundred eleven million, three hundred eleven thousand, two hundred".