13003310113200 has 1440 divisors, whose sum is σ = 53313487718400. Its totient is φ = 2900883456000.

The previous prime is 13003310113151. The next prime is 13003310113223. The reversal of 13003310113200 is 231101330031.

It is a happy number.

13003310113200 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 331 + 0 + 11 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8298218817 + ... + 8298220383.

It is an arithmetic number, because the mean of its divisors is an integer number (37023255360).

Almost surely, 2^{13003310113200} is an apocalyptic number.

13003310113200 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 13003310113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26656743859200).

13003310113200 is an abundant number, since it is smaller than the sum of its proper divisors (40310177605200).

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

13003310113200 is a wasteful number, since it uses less digits than its factorization.

13003310113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13003310113200 its reverse (231101330031), we get a palindrome (13234411443231).

The spelling of 13003310113200 in words is "thirteen trillion, three billion, three hundred ten million, one hundred thirteen thousand, two hundred".