13102220013200 has 120 divisors (see below), whose sum is σ = 31533015463200. Its totient is φ = 5231749063680.

The previous prime is 13102220013199. The next prime is 13102220013217. The reversal of 13102220013200 is 231002220131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712881611 + ... + 712899989.

It is an arithmetic number, because the mean of its divisors is an integer number (262775128860).

Almost surely, 2^{13102220013200} is an apocalyptic number.

13102220013200 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 13102220013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766507731600).

13102220013200 is an abundant number, since it is smaller than the sum of its proper divisors (18430795450000).

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

13102220013200 is a wasteful number, since it uses less digits than its factorization.

13102220013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21409 (or 21398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13102220013200 its reverse (231002220131), we get a palindrome (13333222233331).

The spelling of 13102220013200 in words is "thirteen trillion, one hundred two billion, two hundred twenty million, thirteen thousand, two hundred".