13530312 has 24 divisors (see below), whose sum is σ = 36644790. Its totient is φ = 4510080.

The previous prime is 13530311. The next prime is 13530323. The reversal of 13530312 is 21303531.

13530312 is a `hidden beast` number, since 1 + 353 + 0 + 312 = 666.

13530312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13003236 + 527076 = 3606^2 + 726^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (13530311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93889 + ... + 94032.

Almost surely, 2^13530312 is an apocalyptic number.

13530312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13530312 is an abundant number, since it is smaller than the sum of its proper divisors (23114478).

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

13530312 is a wasteful number, since it uses less digits than its factorization.

13530312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187933 (or 187926 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13530312 is about 3678.3572420307. The cubic root of 13530312 is about 238.2882368042.

Adding to 13530312 its reverse (21303531), we get a palindrome (34833843).

The spelling of 13530312 in words is "thirteen million, five hundred thirty thousand, three hundred twelve".