13382306421120 has 1792 divisors, whose sum is σ = 62511323978880. Its totient is φ = 2657286881280.

The previous prime is 13382306421109. The next prime is 13382306421167. The reversal of 13382306421120 is 2112460328331.

13382306421120 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 2 + 3 + 0 + 642 + 1 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×13382306421120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 721759050 + ... + 721777590.

Almost surely, 2^{13382306421120} is an apocalyptic number.

13382306421120 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 13382306421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31255661989440).

13382306421120 is an abundant number, since it is smaller than the sum of its proper divisors (49129017557760).

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

13382306421120 is a wasteful number, since it uses less digits than its factorization.

13382306421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18615 (or 18588 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13382306421120 its reverse (2112460328331), we get a palindrome (15494766749451).

The spelling of 13382306421120 in words is "thirteen trillion, three hundred eighty-two billion, three hundred six million, four hundred twenty-one thousand, one hundred twenty".