13313232133100 has 288 divisors, whose sum is σ = 31050363899520. Its totient is φ = 4943397888000.

The previous prime is 13313232133081. The next prime is 13313232133141. The reversal of 13313232133100 is 133123231331.

It is a super-2 number, since 2×13313232133100² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13313232133100.

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, 8253707894 + ... + 8253709506.

It is an arithmetic number, because the mean of its divisors is an integer number (107813763540).

Almost surely, 2^{13313232133100} is an apocalyptic number.

13313232133100 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 13313232133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15525181949760).

13313232133100 is an abundant number, since it is smaller than the sum of its proper divisors (17737131766420).

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

13313232133100 is a wasteful number, since it uses less digits than its factorization.

13313232133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13313232133100 its reverse (133123231331), we get a palindrome (13446355364431).

The spelling of 13313232133100 in words is "thirteen trillion, three hundred thirteen billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred".