13300220420300 has 288 divisors, whose sum is σ = 32238690591744. Its totient is φ = 4721691520000.

The previous prime is 13300220420297. The next prime is 13300220420401. The reversal of 13300220420300 is 302402200331.

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, 18973209950 + ... + 18973210650.

It is an arithmetic number, because the mean of its divisors is an integer number (111939897888).

Almost surely, 2^{13300220420300} is an apocalyptic number.

13300220420300 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 13300220420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119345295872).

13300220420300 is an abundant number, since it is smaller than the sum of its proper divisors (18938470171444).

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

13300220420300 is a wasteful number, since it uses less digits than its factorization.

13300220420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13300220420300 its reverse (302402200331), we get a palindrome (13602622620631).

The spelling of 13300220420300 in words is "thirteen trillion, three hundred billion, two hundred twenty million, four hundred twenty thousand, three hundred".