13220103313200 has 360 divisors, whose sum is σ = 49337319620160. Its totient is φ = 3017143718400.

The previous prime is 13220103313187. The next prime is 13220103313217. The reversal of 13220103313200 is 231330102231.

It is a super-2 number, since 2×13220103313200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38578615 + ... + 38919785.

It is an arithmetic number, because the mean of its divisors is an integer number (137048110056).

Almost surely, 2^{13220103313200} is an apocalyptic number.

13220103313200 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 13220103313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24668659810080).

13220103313200 is an abundant number, since it is smaller than the sum of its proper divisors (36117216306960).

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

13220103313200 is a wasteful number, since it uses less digits than its factorization.

13220103313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341865 (or 341847 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13220103313200 its reverse (231330102231), we get a palindrome (13451433415431).

The spelling of 13220103313200 in words is "thirteen trillion, two hundred twenty billion, one hundred three million, three hundred thirteen thousand, two hundred".