13381520 has 20 divisors (see below), whose sum is σ = 31112220. Its totient is φ = 5352576.

The previous prime is 13381507. The next prime is 13381523. The reversal of 13381520 is 2518331.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 6990736 = 2528^2 + 2644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13381523) 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 3 ways as a sum of consecutive naturals, for example, 83555 + ... + 83714.

It is an arithmetic number, because the mean of its divisors is an integer number (1555611).

Almost surely, 2^13381520 is an apocalyptic number.

13381520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13381520 is an abundant number, since it is smaller than the sum of its proper divisors (17730700).

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

13381520 is a wasteful number, since it uses less digits than its factorization.

13381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167282 (or 167276 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13381520 is about 3658.0759970236. The cubic root of 13381520 is about 237.4115349193.

Adding to 13381520 its reverse (2518331), we get a palindrome (15899851).

The spelling of 13381520 in words is "thirteen million, three hundred eighty-one thousand, five hundred twenty".