13000221313200 has 360 divisors, whose sum is σ = 49235511064896. Its totient is φ = 3150299328000.

The previous prime is 13000221313181. The next prime is 13000221313229. The reversal of 13000221313200 is 231312200031.

13000221313200 is a `hidden beast` number, since 130 + 0 + 0 + 2 + 21 + 313 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 100162747 + ... + 100292453.

Almost surely, 2^{13000221313200} is an apocalyptic number.

13000221313200 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 13000221313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24617755532448).

13000221313200 is an abundant number, since it is smaller than the sum of its proper divisors (36235289751696).

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

13000221313200 is a wasteful number, since it uses less digits than its factorization.

13000221313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132273 (or 132259 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13000221313200 its reverse (231312200031), we get a palindrome (13231533513231).

The spelling of 13000221313200 in words is "thirteen trillion, two hundred twenty-one million, three hundred thirteen thousand, two hundred".