13122221003300 has 288 divisors, whose sum is σ = 30859817345280. Its totient is φ = 4828336128000.

The previous prime is 13122221003293. The next prime is 13122221003377. The reversal of 13122221003300 is 330012222131.

It is a super-2 number, since 2×13122221003300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2650415825 + ... + 2650420775.

It is an arithmetic number, because the mean of its divisors is an integer number (107152143560).

Almost surely, 2^{13122221003300} is an apocalyptic number.

13122221003300 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 13122221003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429908672640).

13122221003300 is an abundant number, since it is smaller than the sum of its proper divisors (17737596341980).

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

13122221003300 is a wasteful number, since it uses less digits than its factorization.

13122221003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13122221003300 its reverse (330012222131), we get a palindrome (13452233225431).

The spelling of 13122221003300 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twenty-one million, three thousand, three hundred".