13101482728256 has 56 divisors (see below), whose sum is σ = 28312706325960. Its totient is φ = 5978896146432.

The previous prime is 13101482728219. The next prime is 13101482728261. The reversal of 13101482728256 is 65282728410131.

It can be written as a sum of positive squares in 4 ways, for example, as 2989902400 + 13098492825856 = 54680^2 + 3619184^2 .

It is a super-2 number, since 2×13101482728256² (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 7 ways as a sum of consecutive naturals, for example, 88392101 + ... + 88540196.

It is an arithmetic number, because the mean of its divisors is an integer number (505584041535).

Almost surely, 2^{13101482728256} is an apocalyptic number.

13101482728256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13101482728256 is an abundant number, since it is smaller than the sum of its proper divisors (15211223597704).

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

13101482728256 is a wasteful number, since it uses less digits than its factorization.

13101482728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176932411 (or 176932401 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 13101482728256 in words is "thirteen trillion, one hundred one billion, four hundred eighty-two million, seven hundred twenty-eight thousand, two hundred fifty-six".