13122133202100 has 288 divisors, whose sum is σ = 41435676696960. Its totient is φ = 3186892431360.

The previous prime is 13122133202089. The next prime is 13122133202107. The reversal of 13122133202100 is 120233122131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122133202107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162055224 + ... + 162136176.

It is an arithmetic number, because the mean of its divisors is an integer number (143873877420).

Almost surely, 2^{13122133202100} is an apocalyptic number.

13122133202100 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 13122133202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717838348480).

13122133202100 is an abundant number, since it is smaller than the sum of its proper divisors (28313543494860).

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

13122133202100 is a wasteful number, since it uses less digits than its factorization.

13122133202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81539 (or 81532 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13122133202100 its reverse (120233122131), we get a palindrome (13242366324231).

The spelling of 13122133202100 in words is "thirteen trillion, one hundred twenty-two billion, one hundred thirty-three million, two hundred two thousand, one hundred".