11201300 has 72 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3827200.

The previous prime is 11201293. The next prime is 11201303. The reversal of 11201300 is 310211.

11201300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201303) 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, 18401 + ... + 18999.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^11201300 is an apocalyptic number.

11201300 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 11201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

11201300 is an abundant number, since it is smaller than the sum of its proper divisors (16921900).

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

11201300 is a wasteful number, since it uses less digits than its factorization.

11201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11201300 is about 3346.8343251497. The cubic root of 11201300 is about 223.7464446030.

Adding to 11201300 its reverse (310211), we get a palindrome (11511511).

The spelling of 11201300 in words is "eleven million, two hundred one thousand, three hundred".