13113600 has 108 divisors (see below), whose sum is σ = 43340976. Its totient is φ = 3491840.

The previous prime is 13113593. The next prime is 13113601. The reversal of 13113600 is 631131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13113600.

It is not an unprimeable number, because it can be changed into a prime (13113601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18859 + ... + 19541.

Almost surely, 2^13113600 is an apocalyptic number.

13113600 is a gapful number since it is divisible by the number (10) 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 13113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670488).

13113600 is an abundant number, since it is smaller than the sum of its proper divisors (30227376).

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

13113600 is an equidigital number, since it uses as much as digits as its factorization.

13113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 13113600 is about 3621.2704952820. The cubic root of 13113600 is about 235.8163849968.

Adding to 13113600 its reverse (631131), we get a palindrome (13744731).

It can be divided in two parts, 131 and 13600, that added together give a palindrome (13731).

The spelling of 13113600 in words is "thirteen million, one hundred thirteen thousand, six hundred".