13101200 has 60 divisors (see below), whose sum is σ = 35979840. Its totient is φ = 4490880.

The previous prime is 13101163. The next prime is 13101211. The reversal of 13101200 is 210131.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461 + ... + 5139.

It is an arithmetic number, because the mean of its divisors is an integer number (599664).

Almost surely, 2^13101200 is an apocalyptic number.

13101200 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 13101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989920).

13101200 is an abundant number, since it is smaller than the sum of its proper divisors (22878640).

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

13101200 is a wasteful number, since it uses less digits than its factorization.

13101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4693 counting only the distinct ones).

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

The square root of 13101200 is about 3619.5579840638. The cubic root of 13101200 is about 235.7420335518.

Adding to 13101200 its reverse (210131), we get a palindrome (13311331).

The spelling of 13101200 in words is "thirteen million, one hundred one thousand, two hundred".