13013568 has 112 divisors (see below), whose sum is σ = 40599360. Its totient is φ = 4073472.

The previous prime is 13013549. The next prime is 13013593. The reversal of 13013568 is 86531031.

13013568 is a `hidden beast` number, since 1 + 301 + 356 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29155 + ... + 29597.

Almost surely, 2^13013568 is an apocalyptic number.

13013568 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 13013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299680).

13013568 is an abundant number, since it is smaller than the sum of its proper divisors (27585792).

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

13013568 is a wasteful number, since it uses less digits than its factorization.

13013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13013568 is about 3607.4323278476. The cubic root of 13013568 is about 235.2152426606.

Adding to 13013568 its reverse (86531031), we get a palindrome (99544599).

The spelling of 13013568 in words is "thirteen million, thirteen thousand, five hundred sixty-eight".