13101305476728 has 256 divisors, whose sum is σ = 39927048192000. Its totient is φ = 3499060032000.

The previous prime is 13101305476717. The next prime is 13101305476739. The reversal of 13101305476728 is 82767450310131.

It is an interprime number because it is at equal distance from previous prime (13101305476717) and next prime (13101305476739).

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 63 ways as a sum of consecutive naturals, for example, 408748303 + ... + 408780353.

It is an arithmetic number, because the mean of its divisors is an integer number (155965032000).

Almost surely, 2^{13101305476728} 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 13101305476728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19963524096000).

13101305476728 is an abundant number, since it is smaller than the sum of its proper divisors (26825742715272).

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

13101305476728 is a wasteful number, since it uses less digits than its factorization.

13101305476728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33786 (or 33782 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

Adding to 13101305476728 its reverse (82767450310131), we get a palindrome (95868755786859).

The spelling of 13101305476728 in words is "thirteen trillion, one hundred one billion, three hundred five million, four hundred seventy-six thousand, seven hundred twenty-eight".