13301031221100 has 432 divisors, whose sum is σ = 49320437956608. Its totient is φ = 2934768775680.

The previous prime is 13301031221099. The next prime is 13301031221111. The reversal of 13301031221100 is 112213010331.

13301031221100 is a `hidden beast` number, since 1 + 330 + 1 + 0 + 312 + 21 + 1 + 0 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 29379049 + ... + 29828351.

Almost surely, 2^{13301031221100} is an apocalyptic number.

13301031221100 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 13301031221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24660218978304).

13301031221100 is an abundant number, since it is smaller than the sum of its proper divisors (36019406735508).

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

13301031221100 is a wasteful number, since it uses less digits than its factorization.

13301031221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449494 (or 449484 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13301031221100 its reverse (112213010331), we get a palindrome (13413244231431).

The spelling of 13301031221100 in words is "thirteen trillion, three hundred one billion, thirty-one million, two hundred twenty-one thousand, one hundred".