13082731682640 has 480 divisors, whose sum is σ = 43880703419520. Its totient is φ = 3222847488000.

The previous prime is 13082731682569. The next prime is 13082731682653. The reversal of 13082731682640 is 4628613728031.

It is a happy number.

13082731682640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3114192540 + ... + 3114196740.

It is an arithmetic number, because the mean of its divisors is an integer number (91418132124).

Almost surely, 2^{13082731682640} is an apocalyptic number.

13082731682640 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 13082731682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21940351709760).

13082731682640 is an abundant number, since it is smaller than the sum of its proper divisors (30797971736880).

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

13082731682640 is a wasteful number, since it uses less digits than its factorization.

13082731682640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 13082731682640 in words is "thirteen trillion, eighty-two billion, seven hundred thirty-one million, six hundred eighty-two thousand, six hundred forty".