13109200 has 60 divisors (see below), whose sum is σ = 33930988. Its totient is φ = 4838400.

The previous prime is 13109197. The next prime is 13109203. The reversal of 13109200 is 290131.

It is an interprime number because it is at equal distance from previous prime (13109197) and next prime (13109203).

It can be written as a sum of positive squares in 6 ways, for example, as 5645376 + 7463824 = 2376^2 + 2732^2 .

It is a super-2 number, since 2×13109200² = 343702249280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13109203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3940 + ... + 6460.

Almost surely, 2^13109200 is an apocalyptic number.

13109200 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 13109200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16965494).

13109200 is an abundant number, since it is smaller than the sum of its proper divisors (20821788).

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

13109200 is a wasteful number, since it uses less digits than its factorization.

13109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 13109200 is about 3620.6629227256. The cubic root of 13109200 is about 235.7900075931.

Adding to 13109200 its reverse (290131), we get a palindrome (13399331).

The spelling of 13109200 in words is "thirteen million, one hundred nine thousand, two hundred".