13110011012177 has 2 divisors, whose sum is σ = 13110011012178. Its totient is φ = 13110011012176.

The previous prime is 13110011012099. The next prime is 13110011012207. The reversal of 13110011012177 is 77121011001131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12415482120721 + 694528891456 = 3523561^2 + 833384^2 .

It is a cyclic number.

It is not a de Polignac number, because 13110011012177 - 2¹⁴ = 13110010995793 is a prime.

It is not a weakly prime, because it can be changed into another prime (13110017012177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555005506088 + 6555005506089.

It is an arithmetic number, because the mean of its divisors is an integer number (6555005506089).

Almost surely, 2^{13110011012177} is an apocalyptic number.

It is an amenable number.

13110011012177 is a deficient number, since it is larger than the sum of its proper divisors (1).

13110011012177 is an equidigital number, since it uses as much as digits as its factorization.

13110011012177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 26.

The spelling of 13110011012177 in words is "thirteen trillion, one hundred ten billion, eleven million, twelve thousand, one hundred seventy-seven".