13300200320 has 128 divisors (see below), whose sum is σ = 35805818880. Its totient is φ = 4680345600.

The previous prime is 13300200311. The next prime is 13300200341. The reversal of 13300200320 is 2300200331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13300200295 and 13300200304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187769 + ... + 248711.

It is an arithmetic number, because the mean of its divisors is an integer number (279732960).

Almost surely, 2^13300200320 is an apocalyptic number.

13300200320 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 13300200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902909440).

13300200320 is an abundant number, since it is smaller than the sum of its proper divisors (22505618560).

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

13300200320 is a wasteful number, since it uses less digits than its factorization.

13300200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61004 (or 60992 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 13300200320 its reverse (2300200331), we get a palindrome (15600400651).

The spelling of 13300200320 in words is "thirteen billion, three hundred million, two hundred thousand, three hundred twenty".