13039312 has 80 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 5299200.

The previous prime is 13039291. The next prime is 13039331. The reversal of 13039312 is 21393031.

It is a super-4 number, since 4×13039312⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 93739 + ... + 93877.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 2^13039312 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 13039312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

13039312 is an abundant number, since it is smaller than the sum of its proper divisors (17583728).

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

13039312 is a wasteful number, since it uses less digits than its factorization.

13039312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 13039312 is about 3610.9987538076. The cubic root of 13039312 is about 235.3702447985.

The spelling of 13039312 in words is "thirteen million, thirty-nine thousand, three hundred twelve".