13321013103200 has 288 divisors, whose sum is σ = 38211925530240. Its totient is φ = 4482332467200.

The previous prime is 13321013103199. The next prime is 13321013103221. The reversal of 13321013103200 is 230131012331.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6263192 + ... + 8116008.

It is an arithmetic number, because the mean of its divisors is an integer number (132680296980).

Almost surely, 2^{13321013103200} is an apocalyptic number.

13321013103200 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 13321013103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105962765120).

13321013103200 is an abundant number, since it is smaller than the sum of its proper divisors (24890912427040).

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

13321013103200 is a wasteful number, since it uses less digits than its factorization.

13321013103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852910 (or 1852897 counting only the distinct ones).

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

Adding to 13321013103200 its reverse (230131012331), we get a palindrome (13551144115531).

The spelling of 13321013103200 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, one hundred three thousand, two hundred".