13330213123320 has 512 divisors, whose sum is σ = 46171641600000. Its totient is φ = 3418079772672.

The previous prime is 13330213123319. The next prime is 13330213123333. The reversal of 13330213123320 is 2332131203331.

13330213123320 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 21 + 312 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3252062631 + ... + 3252066729.

It is an arithmetic number, because the mean of its divisors is an integer number (90178987500).

Almost surely, 2^{13330213123320} is an apocalyptic number.

13330213123320 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 13330213123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23085820800000).

13330213123320 is an abundant number, since it is smaller than the sum of its proper divisors (32841428476680).

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

13330213123320 is a wasteful number, since it uses less digits than its factorization.

13330213123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13330213123320 its reverse (2332131203331), we get a palindrome (15662344326651).

The spelling of 13330213123320 in words is "thirteen trillion, three hundred thirty billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred twenty".