13341312 has 96 divisors (see below), whose sum is σ = 39554580. Its totient is φ = 4313088.

The previous prime is 13341301. The next prime is 13341313. The reversal of 13341312 is 21314331.

13341312 is a `hidden beast` number, since 13 + 341 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13133376 + 207936 = 3624^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13341313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42468 + ... + 42780.

Almost surely, 2^13341312 is an apocalyptic number.

13341312 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 13341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19777290).

13341312 is an abundant number, since it is smaller than the sum of its proper divisors (26213268).

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

13341312 is a wasteful number, since it uses less digits than its factorization.

13341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13341312 is about 3652.5760772364. The cubic root of 13341312 is about 237.1735096447.

Adding to 13341312 its reverse (21314331), we get a palindrome (34655643).

The spelling of 13341312 in words is "thirteen million, three hundred forty-one thousand, three hundred twelve".