13613103200 has 144 divisors (see below), whose sum is σ = 33729559920. Its totient is φ = 5364480000.

The previous prime is 13613103199. The next prime is 13613103227. The reversal of 13613103200 is 230131631.

It is a happy number.

13613103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26744546 + ... + 26745054.

It is an arithmetic number, because the mean of its divisors is an integer number (234233055).

Almost surely, 2^13613103200 is an apocalyptic number.

13613103200 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 13613103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864779960).

13613103200 is an abundant number, since it is smaller than the sum of its proper divisors (20116456720).

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

13613103200 is a wasteful number, since it uses less digits than its factorization.

13613103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13613103200 its reverse (230131631), we get a palindrome (13843234831).

The spelling of 13613103200 in words is "thirteen billion, six hundred thirteen million, one hundred three thousand, two hundred".