13132320 has 96 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 3456000.

The previous prime is 13132309. The next prime is 13132321. The reversal of 13132320 is 2323131.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13132320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52195 + ... + 52445.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 2^13132320 is an apocalyptic number.

13132320 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 13132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

13132320 is an abundant number, since it is smaller than the sum of its proper divisors (28780320).

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

13132320 is a wasteful number, since it uses less digits than its factorization.

13132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13132320 is about 3623.8543017070. The cubic root of 13132320 is about 235.9285429548.

Adding to 13132320 its reverse (2323131), we get a palindrome (15455451).

The spelling of 13132320 in words is "thirteen million, one hundred thirty-two thousand, three hundred twenty".