13038312 has 48 divisors (see below), whose sum is σ = 37920960. Its totient is φ = 3724896.

The previous prime is 13038307. The next prime is 13038329. The reversal of 13038312 is 21383031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4368 + ... + 6719.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 2^13038312 is an apocalyptic number.

13038312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13038312 is an abundant number, since it is smaller than the sum of its proper divisors (24882648).

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

13038312 is a wasteful number, since it uses less digits than its factorization.

13038312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11110 (or 11099 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13038312 is about 3610.8602853060. The cubic root of 13038312 is about 235.3642277054.

The spelling of 13038312 in words is "thirteen million, thirty-eight thousand, three hundred twelve".