13307135220288 has 168 divisors, whose sum is σ = 46944616100928. Its totient is φ = 3509574110208.

The previous prime is 13307135220251. The next prime is 13307135220293. The reversal of 13307135220288 is 88202253170331.

13307135220288 is a `hidden beast` number, since 1 + 3 + 30 + 7 + 13 + 522 + 0 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 126885306 + ... + 126990137.

It is an arithmetic number, because the mean of its divisors is an integer number (279432238696).

Almost surely, 2^{13307135220288} is an apocalyptic number.

13307135220288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13307135220288 is an abundant number, since it is smaller than the sum of its proper divisors (33637480880640).

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

13307135220288 is a wasteful number, since it uses less digits than its factorization.

13307135220288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253875481 (or 253875468 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13307135220288 in words is "thirteen trillion, three hundred seven billion, one hundred thirty-five million, two hundred twenty thousand, two hundred eighty-eight".