13201320 has 128 divisors (see below), whose sum is σ = 44115840. Its totient is φ = 3133440.

The previous prime is 13201291. The next prime is 13201327. The reversal of 13201320 is 2310231.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13201296 and 13201305.

It is not an unprimeable number, because it can be changed into a prime (13201327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96292 + ... + 96428.

It is an arithmetic number, because the mean of its divisors is an integer number (344655).

Almost surely, 2^13201320 is an apocalyptic number.

13201320 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 13201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22057920).

13201320 is an abundant number, since it is smaller than the sum of its proper divisors (30914520).

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

13201320 is a wasteful number, since it uses less digits than its factorization.

13201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

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

The square root of 13201320 is about 3633.3620793970. The cubic root of 13201320 is about 236.3410276026.

Adding to 13201320 its reverse (2310231), we get a palindrome (15511551).

The spelling of 13201320 in words is "thirteen million, two hundred one thousand, three hundred twenty".