13243120 has 80 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 4736000.

The previous prime is 13243091. The next prime is 13243121. The reversal of 13243120 is 2134231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13243094 and 13243103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13243121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88806 + ... + 88954.

It is an arithmetic number, because the mean of its divisors is an integer number (426870).

Almost surely, 2^13243120 is an apocalyptic number.

13243120 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 13243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

13243120 is an abundant number, since it is smaller than the sum of its proper divisors (20906480).

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

13243120 is a wasteful number, since it uses less digits than its factorization.

13243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13243120 is about 3639.1097812515. The cubic root of 13243120 is about 236.5902109269.

Adding to 13243120 its reverse (2134231), we get a palindrome (15377351).

Subtracting from 13243120 its reverse (2134231), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1324 and 3120, that added together give a palindrome (4444).

The spelling of 13243120 in words is "thirteen million, two hundred forty-three thousand, one hundred twenty".