13110468716961 has 80 divisors (see below), whose sum is σ = 24545222811648. Its totient is φ = 6774974719200.

The previous prime is 13110468716929. The next prime is 13110468716993. The reversal of 13110468716961 is 16961786401131.

13110468716961 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 468 + 7 + 169 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13110468716929) and next prime (13110468716993).

It is not a de Polignac number, because 13110468716961 - 2⁵ = 13110468716929 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13110468716898 and 13110468716907.

It is not an unprimeable number, because it can be changed into a prime (13110468716161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4311475 + ... + 6694008.

Almost surely, 2^{13110468716961} is an apocalyptic number.

13110468716961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13110468716961 is a deficient number, since it is larger than the sum of its proper divisors (11434754094687).

13110468716961 is a wasteful number, since it uses less digits than its factorization.

13110468716961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005704 (or 11005695 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 13110468716961 in words is "thirteen trillion, one hundred ten billion, four hundred sixty-eight million, seven hundred sixteen thousand, nine hundred sixty-one".