13351200 has 72 divisors (see below), whose sum is σ = 43465968. Its totient is φ = 3559680.

The previous prime is 13351193. The next prime is 13351213. The reversal of 13351200 is 215331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13351200.

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, 382 + ... + 5181.

It is an arithmetic number, because the mean of its divisors is an integer number (603694).

Almost surely, 2^13351200 is an apocalyptic number.

13351200 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 13351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732984).

13351200 is an abundant number, since it is smaller than the sum of its proper divisors (30114768).

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

13351200 is a wasteful number, since it uses less digits than its factorization.

13351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13351200 is about 3653.9293917644. The cubic root of 13351200 is about 237.2320894036.

Adding to 13351200 its reverse (215331), we get a palindrome (13566531).

The spelling of 13351200 in words is "thirteen million, three hundred fifty-one thousand, two hundred".