13201123221000 has 1536 divisors, whose sum is σ = 55367398195200. Its totient is φ = 2789095680000.

The previous prime is 13201123220993. The next prime is 13201123221001. The reversal of 13201123221000 is 12232110231.

13201123221000 is a `hidden beast` number, since 1 + 320 + 1 + 12 + 322 + 10 + 0 + 0 = 666.

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 (13201123221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8974250265 + ... + 8974251735.

It is an arithmetic number, because the mean of its divisors is an integer number (36046483200).

Almost surely, 2^{13201123221000} is an apocalyptic number.

13201123221000 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 13201123221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27683699097600).

13201123221000 is an abundant number, since it is smaller than the sum of its proper divisors (42166274974200).

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

13201123221000 is a wasteful number, since it uses less digits than its factorization.

13201123221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13201123221000 its reverse (12232110231), we get a palindrome (13213355331231).

The spelling of 13201123221000 in words is "thirteen trillion, two hundred one billion, one hundred twenty-three million, two hundred twenty-one thousand".