13321013101200 has 480 divisors, whose sum is σ = 54387735033600. Its totient is φ = 3033479393280.

The previous prime is 13321013101199. The next prime is 13321013101217. The reversal of 13321013101200 is 210131012331.

13321013101200 is a `hidden beast` number, since 1 + 332 + 1 + 0 + 1 + 310 + 1 + 20 + 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 95 ways as a sum of consecutive naturals, for example, 20008884 + ... + 20663916.

It is an arithmetic number, because the mean of its divisors is an integer number (113307781320).

Almost surely, 2^{13321013101200} is an apocalyptic number.

13321013101200 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 13321013101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27193867516800).

13321013101200 is an abundant number, since it is smaller than the sum of its proper divisors (41066721932400).

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

13321013101200 is a wasteful number, since it uses less digits than its factorization.

13321013101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655336 (or 655319 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13321013101200 its reverse (210131012331), we get a palindrome (13531144113531).

The spelling of 13321013101200 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, one hundred one thousand, two hundred".