13082371249920 has 288 divisors, whose sum is σ = 47787598645248. Its totient is φ = 2987942805504.

The previous prime is 13082371249919. The next prime is 13082371249933. The reversal of 13082371249920 is 2994217328031.

It is a super-2 number, since 2×13082371249920² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 34675737 + ... + 35050983.

Almost surely, 2^{13082371249920} is an apocalyptic number.

13082371249920 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 13082371249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23893799322624).

13082371249920 is an abundant number, since it is smaller than the sum of its proper divisors (34705227395328).

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

13082371249920 is a wasteful number, since it uses less digits than its factorization.

13082371249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376575 (or 376561 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 13082371249920 in words is "thirteen trillion, eighty-two billion, three hundred seventy-one million, two hundred forty-nine thousand, nine hundred twenty".