13313221320300 has 576 divisors, whose sum is σ = 45389008917504. Its totient is φ = 2976584499200.

The previous prime is 13313221320281. The next prime is 13313221320307. The reversal of 13313221320300 is 302312231331.

It is not an unprimeable number, because it can be changed into a prime (13313221320307) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2904911809 + ... + 2904916391.

It is an arithmetic number, because the mean of its divisors is an integer number (78800362704).

Almost surely, 2^{13313221320300} is an apocalyptic number.

13313221320300 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 13313221320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22694504458752).

13313221320300 is an abundant number, since it is smaller than the sum of its proper divisors (32075787597204).

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

13313221320300 is a wasteful number, since it uses less digits than its factorization.

13313221320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13313221320300 its reverse (302312231331), we get a palindrome (13615533551631).

The spelling of 13313221320300 in words is "thirteen trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred twenty thousand, three hundred".