13312512 has 120 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 4396032.

The previous prime is 13312493. The next prime is 13312517. The reversal of 13312512 is 21521331.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13312517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124363 + ... + 124469.

Almost surely, 2^13312512 is an apocalyptic number.

13312512 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 13312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

13312512 is an abundant number, since it is smaller than the sum of its proper divisors (26903664).

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

13312512 is an frugal number, since it uses more digits than its factorization.

13312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13312512 is about 3648.6315242841. The cubic root of 13312512 is about 237.0027238911.

Adding to 13312512 its reverse (21521331), we get a palindrome (34833843).

It can be divided in two parts, 13312 and 512, that added together give a cube (13824 = 24³).

The spelling of 13312512 in words is "thirteen million, three hundred twelve thousand, five hundred twelve".