13221221300100 has 324 divisors, whose sum is σ = 47259632866992. Its totient is φ = 3065789232000.

The previous prime is 13221221300047. The next prime is 13221221300117. The reversal of 13221221300100 is 100312212231.

13221221300100 is a `hidden beast` number, since 1 + 32 + 212 + 21 + 300 + 100 = 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3974835 + ... + 6499365.

Almost surely, 2^{13221221300100} is an apocalyptic number.

13221221300100 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 13221221300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23629816433496).

13221221300100 is an abundant number, since it is smaller than the sum of its proper divisors (34038411566892).

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

13221221300100 is a wasteful number, since it uses less digits than its factorization.

13221221300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524608 (or 2524575 counting only the distinct ones).

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

Adding to 13221221300100 its reverse (100312212231), we get a palindrome (13321533512331).

The spelling of 13221221300100 in words is "thirteen trillion, two hundred twenty-one billion, two hundred twenty-one million, three hundred thousand, one hundred".