13210800 has 120 divisors (see below), whose sum is σ = 43129680. Its totient is φ = 3456000.

The previous prime is 13210793. The next prime is 13210801. The reversal of 13210800 is 801231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13210800.

It is not an unprimeable number, because it can be changed into a prime (13210801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121146 + ... + 121254.

It is an arithmetic number, because the mean of its divisors is an integer number (359414).

Almost surely, 2^13210800 is an apocalyptic number.

13210800 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 13210800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21564840).

13210800 is an abundant number, since it is smaller than the sum of its proper divisors (29918880).

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

13210800 is a wasteful number, since it uses less digits than its factorization.

13210800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13210800 is about 3634.6664221081. Note that the first 3 decimals coincide. The cubic root of 13210800 is about 236.3975870185.

The spelling of 13210800 in words is "thirteen million, two hundred ten thousand, eight hundred".