13521313 has 4 divisors (see below), whose sum is σ = 14561428. Its totient is φ = 12481200.

The previous prime is 13521283. The next prime is 13521323. The reversal of 13521313 is 31312531.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31312531 = 2381 ⋅13151.

It can be written as a sum of positive squares in 2 ways, for example, as 762129 + 12759184 = 873^2 + 3572^2 .

It is a cyclic number.

It is not a de Polignac number, because 13521313 - 2¹⁷ = 13390241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13521323) 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, 520038 + ... + 520063.

It is an arithmetic number, because the mean of its divisors is an integer number (3640357).

Almost surely, 2^13521313 is an apocalyptic number.

13521313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13521313 is a deficient number, since it is larger than the sum of its proper divisors (1040115).

13521313 is a wasteful number, since it uses less digits than its factorization.

13521313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040114.

The product of its digits is 270, while the sum is 19.

The square root of 13521313 is about 3677.1338022977. The cubic root of 13521313 is about 238.2353966474.

Adding to 13521313 its reverse (31312531), we get a palindrome (44833844).

The spelling of 13521313 in words is "thirteen million, five hundred twenty-one thousand, three hundred thirteen".