13213200 has 360 divisors, whose sum is σ = 57260224. Its totient is φ = 2534400.

The previous prime is 13213159. The next prime is 13213229. The reversal of 13213200 is 231231.

13213200 = T₂₂₄ + T₂₂₅ + ... + T₄₄₈.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 1016394 + ... + 1016406.

Almost surely, 2^13213200 is an apocalyptic number.

13213200 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 13213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28630112).

13213200 is an abundant number, since it is smaller than the sum of its proper divisors (44047024).

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

13213200 is a wasteful number, since it uses less digits than its factorization.

13213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13213200 is about 3634.9965612088. The cubic root of 13213200 is about 236.4119015655.

Adding to 13213200 its reverse (231231), we get a palindrome (13444431).

It can be divided in two parts, 132 and 13200, that multiplied together give a square (1742400 = 1320²).

The spelling of 13213200 in words is "thirteen million, two hundred thirteen thousand, two hundred".