13106828137656 has 128 divisors (see below), whose sum is σ = 35857422581760. Its totient is φ = 3959382729600.

The previous prime is 13106828137639. The next prime is 13106828137661. The reversal of 13106828137656 is 65673182860131.

It is a junction number, because it is equal to n+sod(n) for n = 13106828137596 and 13106828137605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258762525 + ... + 258813171.

It is an arithmetic number, because the mean of its divisors is an integer number (280136113920).

Almost surely, 2^{13106828137656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106828137656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17928711290880).

13106828137656 is an abundant number, since it is smaller than the sum of its proper divisors (22750594444104).

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

13106828137656 is a wasteful number, since it uses less digits than its factorization.

13106828137656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53705 (or 53701 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 13106828137656 in words is "thirteen trillion, one hundred six billion, eight hundred twenty-eight million, one hundred thirty-seven thousand, six hundred fifty-six".