13333103312100 has 288 divisors, whose sum is σ = 46089530081280. Its totient is φ = 2933060928000.

The previous prime is 13333103312099. The next prime is 13333103312147. The reversal of 13333103312100 is 121330133331.

It is a super-2 number, since 2×13333103312100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102756 + ... + 5164955.

It is an arithmetic number, because the mean of its divisors is an integer number (160033090560).

Almost surely, 2^{13333103312100} is an apocalyptic number.

13333103312100 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 13333103312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23044765040640).

13333103312100 is an abundant number, since it is smaller than the sum of its proper divisors (32756426769180).

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

13333103312100 is a wasteful number, since it uses less digits than its factorization.

13333103312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267811 (or 5267804 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13333103312100 its reverse (121330133331), we get a palindrome (13454433445431).

The spelling of 13333103312100 in words is "thirteen trillion, three hundred thirty-three billion, one hundred three million, three hundred twelve thousand, one hundred".