13300123320 has 256 divisors, whose sum is σ = 48812544000. Its totient is φ = 3194380800.

The previous prime is 13300123303. The next prime is 13300123339. The reversal of 13300123320 is 2332100331.

13300123320 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 2 + 332 + 0 = 666.

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 = 13300123293 and 13300123302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1289785 + ... + 1300055.

It is an arithmetic number, because the mean of its divisors is an integer number (190674000).

Almost surely, 2^13300123320 is an apocalyptic number.

13300123320 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 13300123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24406272000).

13300123320 is an abundant number, since it is smaller than the sum of its proper divisors (35512420680).

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

13300123320 is a wasteful number, since it uses less digits than its factorization.

13300123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411 (or 10401 counting only the distinct ones).

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

Adding to 13300123320 its reverse (2332100331), we get a palindrome (15632223651).

The spelling of 13300123320 in words is "thirteen billion, three hundred million, one hundred twenty-three thousand, three hundred twenty".