13213120120200 has 1152 divisors, whose sum is σ = 61189716107520. Its totient is φ = 2465875353600.

The previous prime is 13213120120177. The next prime is 13213120120267. The reversal of 13213120120200 is 202102131231.

13213120120200 is a `hidden beast` number, since 1 + 32 + 1 + 312 + 0 + 120 + 200 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66567502 + ... + 66765698.

It is an arithmetic number, because the mean of its divisors is an integer number (53116073010).

Almost surely, 2^{13213120120200} is an apocalyptic number.

13213120120200 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 13213120120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30594858053760).

13213120120200 is an abundant number, since it is smaller than the sum of its proper divisors (47976595987320).

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

13213120120200 is a wasteful number, since it uses less digits than its factorization.

13213120120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198287 (or 198275 counting only the distinct ones).

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

Adding to 13213120120200 its reverse (202102131231), we get a palindrome (13415222251431).

The spelling of 13213120120200 in words is "thirteen trillion, two hundred thirteen billion, one hundred twenty million, one hundred twenty thousand, two hundred".