13130842652928 has 2160 divisors, whose sum is σ = 53728437813120. Its totient is φ = 3141995028480.

The previous prime is 13130842652903. The next prime is 13130842652929. The reversal of 13130842652928 is 82925624803131.

13130842652928 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 84 + 2 + 6 + 529 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13130842652929) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 26105054725 + ... + 26105055227.

Almost surely, 2^{13130842652928} is an apocalyptic number.

13130842652928 is a gapful number since it is divisible by the number (18) 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 13130842652928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26864218906560).

13130842652928 is an abundant number, since it is smaller than the sum of its proper divisors (40597595160192).

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

13130842652928 is an equidigital number, since it uses as much as digits as its factorization.

13130842652928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 13130842652928 in words is "thirteen trillion, one hundred thirty billion, eight hundred forty-two million, six hundred fifty-two thousand, nine hundred twenty-eight".