13120303200 has 144 divisors (see below), whose sum is σ = 42743264256. Its totient is φ = 3495744000.

The previous prime is 13120303181. The next prime is 13120303211. The reversal of 13120303200 is 230302131.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13120303200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5141925 + ... + 5144475.

It is an arithmetic number, because the mean of its divisors is an integer number (296828224).

Almost surely, 2^13120303200 is an apocalyptic number.

13120303200 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 13120303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21371632128).

13120303200 is an abundant number, since it is smaller than the sum of its proper divisors (29622961056).

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

13120303200 is a wasteful number, since it uses less digits than its factorization.

13120303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13120303200 its reverse (230302131), we get a palindrome (13350605331).

The spelling of 13120303200 in words is "thirteen billion, one hundred twenty million, three hundred three thousand, two hundred".