13128410218752 has 108 divisors (see below), whose sum is σ = 38566640578284. Its totient is φ = 4293568081920.

The previous prime is 13128410218667. The next prime is 13128410218813. The reversal of 13128410218752 is 25781201482131.

13128410218752 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 8 + 410 + 2 + 187 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3381126598656 + 9747283620096 = 1838784^2 + 3122064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13128410218698 and 13128410218707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53633499 + ... + 53877722.

It is an arithmetic number, because the mean of its divisors is an integer number (357098523873).

Almost surely, 2^{13128410218752} is an apocalyptic number.

13128410218752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13128410218752 is an abundant number, since it is smaller than the sum of its proper divisors (25438230359532).

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

13128410218752 is a wasteful number, since it uses less digits than its factorization.

13128410218752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107511296 (or 107511279 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 13128410218752 in words is "thirteen trillion, one hundred twenty-eight billion, four hundred ten million, two hundred eighteen thousand, seven hundred fifty-two".