13281520 has 80 divisors (see below), whose sum is σ = 36301248. Its totient is φ = 4423680.

The previous prime is 13281517. The next prime is 13281523. The reversal of 13281520 is 2518231.

It is an interprime number because it is at equal distance from previous prime (13281517) and next prime (13281523).

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

It is a junction number, because it is equal to n+sod(n) for n = 13281491 and 13281500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20400 + ... + 21040.

Almost surely, 2^13281520 is an apocalyptic number.

13281520 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 13281520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150624).

13281520 is an abundant number, since it is smaller than the sum of its proper divisors (23019728).

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

13281520 is a wasteful number, since it uses less digits than its factorization.

13281520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 13281520 is about 3644.3819777844. The cubic root of 13281520 is about 236.8186640694.

Adding to 13281520 its reverse (2518231), we get a palindrome (15799751).

The spelling of 13281520 in words is "thirteen million, two hundred eighty-one thousand, five hundred twenty".