13521312 has 144 divisors (see below), whose sum is σ = 46388160. Its totient is φ = 3649536.

The previous prime is 13521283. The next prime is 13521323. The reversal of 13521312 is 21312531.

13521312 is a `hidden beast` number, since 1 + 352 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38128 + ... + 38480.

It is an arithmetic number, because the mean of its divisors is an integer number (322140).

Almost surely, 2^13521312 is an apocalyptic number.

13521312 is a gapful number since it is divisible by the number (12) 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 13521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23194080).

13521312 is an abundant number, since it is smaller than the sum of its proper divisors (32866848).

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

13521312 is a wasteful number, since it uses less digits than its factorization.

13521312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13521312 is about 3677.1336663222. The cubic root of 13521312 is about 238.2353907743.

Adding to 13521312 its reverse (21312531), we get a palindrome (34833843).

The spelling of 13521312 in words is "thirteen million, five hundred twenty-one thousand, three hundred twelve".