13015200 has 288 divisors, whose sum is σ = 50621760. Its totient is φ = 2867200.

The previous prime is 13015187. The next prime is 13015213. The reversal of 13015200 is 251031.

It is an interprime number because it is at equal distance from previous prime (13015187) and next prime (13015213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448786 + ... + 448814.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 2^13015200 is an apocalyptic number.

13015200 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 13015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880).

13015200 is an abundant number, since it is smaller than the sum of its proper divisors (37606560).

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

13015200 is a wasteful number, since it uses less digits than its factorization.

13015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13015200 is about 3607.6585204257. The cubic root of 13015200 is about 235.2250748407.

Adding to 13015200 its reverse (251031), we get a palindrome (13266231).

The spelling of 13015200 in words is "thirteen million, fifteen thousand, two hundred".