13300021300320 has 288 divisors, whose sum is σ = 45663498552672. Its totient is φ = 3525026144256.

The previous prime is 13300021300297. The next prime is 13300021300327. The reversal of 13300021300320 is 2300312000331.

13300021300320 is a `hidden beast` number, since 1 + 330 + 0 + 0 + 2 + 1 + 300 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13300021300293 and 13300021300302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300021300327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997220692 + ... + 997234028.

It is an arithmetic number, because the mean of its divisors is an integer number (158553814419).

Almost surely, 2^{13300021300320} is an apocalyptic number.

13300021300320 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 13300021300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22831749276336).

13300021300320 is an abundant number, since it is smaller than the sum of its proper divisors (32363477252352).

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

13300021300320 is a wasteful number, since it uses less digits than its factorization.

13300021300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17534 (or 17523 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13300021300320 its reverse (2300312000331), we get a palindrome (15600333300651).

The spelling of 13300021300320 in words is "thirteen trillion, three hundred billion, twenty-one million, three hundred thousand, three hundred twenty".