13123368 has 48 divisors (see below), whose sum is σ = 35879220. Its totient is φ = 4333056.

The previous prime is 13123349. The next prime is 13123381. The reversal of 13123368 is 86332131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12236004 + 887364 = 3498^2 + 942^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7330 + ... + 8942.

Almost surely, 2^13123368 is an apocalyptic number.

13123368 is a gapful number since it is divisible by the number (18) 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 13123368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17939610).

13123368 is an abundant number, since it is smaller than the sum of its proper divisors (22755852).

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

13123368 is a wasteful number, since it uses less digits than its factorization.

13123368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1731 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13123368 is about 3622.6189421467. The cubic root of 13123368 is about 235.8749217514.

Adding to 13123368 its reverse (86332131), we get a palindrome (99455499).

The spelling of 13123368 in words is "thirteen million, one hundred twenty-three thousand, three hundred sixty-eight".