13103210667168 has 240 divisors, whose sum is σ = 41598279233280. Its totient is φ = 4033771467264.

The previous prime is 13103210667121. The next prime is 13103210667199. The reversal of 13103210667168 is 86176601230131.

13103210667168 is a `hidden beast` number, since 1 + 310 + 3 + 210 + 6 + 67 + 1 + 68 = 666.

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 39 ways as a sum of consecutive naturals, for example, 2060680 + ... + 5518407.

It is an arithmetic number, because the mean of its divisors is an integer number (173326163472).

Almost surely, 2^{13103210667168} is an apocalyptic number.

13103210667168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13103210667168 is an abundant number, since it is smaller than the sum of its proper divisors (28495068566112).

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

13103210667168 is a wasteful number, since it uses less digits than its factorization.

13103210667168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579161 (or 7579144 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

Adding to 13103210667168 its reverse (86176601230131), we get a palindrome (99279811897299).

The spelling of 13103210667168 in words is "thirteen trillion, one hundred three billion, two hundred ten million, six hundred sixty-seven thousand, one hundred sixty-eight".