13031200 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 4101120.

The previous prime is 13031189. The next prime is 13031201. The reversal of 13031200 is 213031.

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

It is not an unprimeable number, because it can be changed into a prime (13031201) 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 23 ways as a sum of consecutive naturals, for example, 72711 + ... + 72889.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^13031200 is an apocalyptic number.

13031200 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 13031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

13031200 is an abundant number, since it is smaller than the sum of its proper divisors (26341280).

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

13031200 is a wasteful number, since it uses less digits than its factorization.

13031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

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

The square root of 13031200 is about 3609.8753441082. The cubic root of 13031200 is about 235.3214252620.

Adding to 13031200 its reverse (213031), we get a palindrome (13244231).

It can be divided in two parts, 13031 and 200, that added together give a palindrome (13231).

The spelling of 13031200 in words is "thirteen million, thirty-one thousand, two hundred".