13103200 has 72 divisors (see below), whose sum is σ = 34919640. Its totient is φ = 4761600.

The previous prime is 13103197. The next prime is 13103201. The reversal of 13103200 is 230131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103201) by changing a digit.

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, 8056 + ... + 9544.

It is an arithmetic number, because the mean of its divisors is an integer number (484995).

Almost surely, 2^13103200 is an apocalyptic number.

13103200 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 13103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459820).

13103200 is an abundant number, since it is smaller than the sum of its proper divisors (21816440).

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

13103200 is a wasteful number, since it uses less digits than its factorization.

13103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13103200 is about 3619.8342503490. The cubic root of 13103200 is about 235.7540288927.

Adding to 13103200 its reverse (230131), we get a palindrome (13333331).

The spelling of 13103200 in words is "thirteen million, one hundred three thousand, two hundred".