13221300300 has 144 divisors (see below), whose sum is σ = 42154801920. Its totient is φ = 3178748160.

The previous prime is 13221300293. The next prime is 13221300307. The reversal of 13221300300 is 300312231.

It is an interprime number because it is at equal distance from previous prime (13221300293) and next prime (13221300307).

It is a super-3 number, since 3×13221300300³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13221300300.

It is not an unprimeable number, because it can be changed into a prime (13221300307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128281 + ... + 207119.

It is an arithmetic number, because the mean of its divisors is an integer number (292741680).

Almost surely, 2^13221300300 is an apocalyptic number.

13221300300 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 13221300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21077400960).

13221300300 is an abundant number, since it is smaller than the sum of its proper divisors (28933501620).

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

13221300300 is a wasteful number, since it uses less digits than its factorization.

13221300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78912 (or 78905 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13221300300 its reverse (300312231), we get a palindrome (13521612531).

The spelling of 13221300300 in words is "thirteen billion, two hundred twenty-one million, three hundred thousand, three hundred".