13220331102000 has 480 divisors, whose sum is σ = 51733295625024. Its totient is φ = 3118307328000.

The previous prime is 13220331101993. The next prime is 13220331102001. The reversal of 13220331102000 is 20113302231.

13220331102000 is a `hidden beast` number, since 1 + 322 + 0 + 33 + 110 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13220331102001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6423712 + ... + 8228288.

Almost surely, 2^{13220331102000} is an apocalyptic number.

13220331102000 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 13220331102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25866647812512).

13220331102000 is an abundant number, since it is smaller than the sum of its proper divisors (38512964523024).

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

13220331102000 is a wasteful number, since it uses less digits than its factorization.

13220331102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804654 (or 1804635 counting only the distinct ones).

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

Adding to 13220331102000 its reverse (20113302231), we get a palindrome (13240444404231).

It can be divided in two parts, 13220331 and 102000, that added together give a palindrome (13322331).

The spelling of 13220331102000 in words is "thirteen trillion, two hundred twenty billion, three hundred thirty-one million, one hundred two thousand".