13355312 has 40 divisors (see below), whose sum is σ = 27118800. Its totient is φ = 6363392.

The previous prime is 13355297. The next prime is 13355323. The reversal of 13355312 is 21355331.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49514 + ... + 49782.

It is an arithmetic number, because the mean of its divisors is an integer number (677970).

Almost surely, 2^13355312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13355312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559400).

13355312 is an abundant number, since it is smaller than the sum of its proper divisors (13763488).

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

13355312 is a wasteful number, since it uses less digits than its factorization.

13355312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its digits is 1350, while the sum is 23.

The square root of 13355312 is about 3654.4920303648. The cubic root of 13355312 is about 237.2564417270.

The spelling of 13355312 in words is "thirteen million, three hundred fifty-five thousand, three hundred twelve".