11031311200 has 216 divisors, whose sum is σ = 33738278112. Its totient is φ = 3491066880.

The previous prime is 11031311177. The next prime is 11031311209. The reversal of 11031311200 is 211313011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031311209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498777 + ... + 520423.

It is an arithmetic number, because the mean of its divisors is an integer number (156195732).

Almost surely, 2^11031311200 is an apocalyptic number.

11031311200 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 11031311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869139056).

11031311200 is an abundant number, since it is smaller than the sum of its proper divisors (22706966912).

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

11031311200 is a wasteful number, since it uses less digits than its factorization.

11031311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21694 (or 21674 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11031311200 its reverse (211313011), we get a palindrome (11242624211).

The spelling of 11031311200 in words is "eleven billion, thirty-one million, three hundred eleven thousand, two hundred".