13320032101200 has 1440 divisors, whose sum is σ = 54007107073920. Its totient is φ = 3010104115200.

The previous prime is 13320032101171. The next prime is 13320032101231. The reversal of 13320032101200 is 210123002331.

13320032101200 is a `hidden beast` number, since 1 + 3 + 320 + 0 + 321 + 0 + 1 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3339188806 + ... + 3339192794.

It is an arithmetic number, because the mean of its divisors is an integer number (37504935468).

Almost surely, 2^{13320032101200} is an apocalyptic number.

13320032101200 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 13320032101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27003553536960).

13320032101200 is an abundant number, since it is smaller than the sum of its proper divisors (40687074972720).

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

13320032101200 is a wasteful number, since it uses less digits than its factorization.

13320032101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4143 counting only the distinct ones).

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

Adding to 13320032101200 its reverse (210123002331), we get a palindrome (13530155103531).

The spelling of 13320032101200 in words is "thirteen trillion, three hundred twenty billion, thirty-two million, one hundred one thousand, two hundred".