13201333200000 has 576 divisors, whose sum is σ = 51798946530240. Its totient is φ = 3200313600000.

The previous prime is 13201333199969. The next prime is 13201333200001. The reversal of 13201333200000 is 233310231.

13201333200000 is a `hidden beast` number, since 1 + 320 + 13 + 332 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (13201333200001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39433317 + ... + 39766683.

It is an arithmetic number, because the mean of its divisors is an integer number (89928726615).

Almost surely, 2^{13201333200000} is an apocalyptic number.

13201333200000 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 13201333200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25899473265120).

13201333200000 is an abundant number, since it is smaller than the sum of its proper divisors (38597613330240).

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

13201333200000 is an equidigital number, since it uses as much as digits as its factorization.

13201333200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333423 (or 333388 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13201333200000 its reverse (233310231), we get a palindrome (13201566510231).

The spelling of 13201333200000 in words is "thirteen trillion, two hundred one billion, three hundred thirty-three million, two hundred thousand".