13343224240100 has 72 divisors (see below), whose sum is σ = 29363803257768. Its totient is φ = 5261958374400.

The previous prime is 13343224240091. The next prime is 13343224240117. The reversal of 13343224240100 is 104242234331.

It can be written as a sum of positive squares in 12 ways, for example, as 7437750746176 + 5905473493924 = 2727224^2 + 2430118^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16997462 + ... + 17765138.

Almost surely, 2^{13343224240100} is an apocalyptic number.

13343224240100 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 13343224240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681901628884).

13343224240100 is an abundant number, since it is smaller than the sum of its proper divisors (16020579017668).

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

13343224240100 is a wasteful number, since it uses less digits than its factorization.

13343224240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770145 (or 770138 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13343224240100 its reverse (104242234331), we get a palindrome (13447466474431).

The spelling of 13343224240100 in words is "thirteen trillion, three hundred forty-three billion, two hundred twenty-four million, two hundred forty thousand, one hundred".