13026312 has 64 divisors (see below), whose sum is σ = 38976000. Its totient is φ = 4007232.

The previous prime is 13026311. The next prime is 13026319. The reversal of 13026312 is 21362031.

13026312 is a `hidden beast` number, since 1 + 30 + 2 + 631 + 2 = 666.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13026311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489 + ... + 5127.

It is an arithmetic number, because the mean of its divisors is an integer number (609000).

Almost surely, 2^13026312 is an apocalyptic number.

13026312 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 13026312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19488000).

13026312 is an abundant number, since it is smaller than the sum of its proper divisors (25949688).

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

13026312 is a wasteful number, since it uses less digits than its factorization.

13026312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13026312 is about 3609.1982489190. The cubic root of 13026312 is about 235.2919985790.

Adding to 13026312 its reverse (21362031), we get a palindrome (34388343).

The spelling of 13026312 in words is "thirteen million, twenty-six thousand, three hundred twelve".