13007312 has 60 divisors (see below), whose sum is σ = 27979980. Its totient is φ = 5849088.

The previous prime is 13007303. The next prime is 13007339. The reversal of 13007312 is 21370031.

13007312 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 6 ways, for example, as 1008016 + 11999296 = 1004^2 + 3464^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134048 + ... + 134144.

It is an arithmetic number, because the mean of its divisors is an integer number (466333).

Almost surely, 2^13007312 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 13007312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989990).

13007312 is an abundant number, since it is smaller than the sum of its proper divisors (14972668).

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

13007312 is a wasteful number, since it uses less digits than its factorization.

13007312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13007312 is about 3606.5651248799. The cubic root of 13007312 is about 235.1775450202.

Adding to 13007312 its reverse (21370031), we get a palindrome (34377343).

The spelling of 13007312 in words is "thirteen million, seven thousand, three hundred twelve".