13031568 has 120 divisors (see below), whose sum is σ = 41976480. Its totient is φ = 3732480.

The previous prime is 13031561. The next prime is 13031617. The reversal of 13031568 is 86513031.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (13031561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29880 + ... + 30312.

It is an arithmetic number, because the mean of its divisors is an integer number (349804).

Almost surely, 2^13031568 is an apocalyptic number.

13031568 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 13031568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20988240).

13031568 is an abundant number, since it is smaller than the sum of its proper divisors (28944912).

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

13031568 is a wasteful number, since it uses less digits than its factorization.

13031568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

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

The square root of 13031568 is about 3609.9263150375. The cubic root of 13031568 is about 235.3236403936.

Adding to 13031568 its reverse (86513031), we get a palindrome (99544599).

The spelling of 13031568 in words is "thirteen million, thirty-one thousand, five hundred sixty-eight".