13101307914161 has 2 divisors, whose sum is σ = 13101307914162. Its totient is φ = 13101307914160.

The previous prime is 13101307914131. The next prime is 13101307914179. The reversal of 13101307914161 is 16141970310131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12711221478400 + 390086435761 = 3565280^2 + 624569^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101307914161 - 2²² = 13101303719857 is a prime.

It is not a weakly prime, because it can be changed into another prime (13101307914131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550653957080 + 6550653957081.

It is an arithmetic number, because the mean of its divisors is an integer number (6550653957081).

Almost surely, 2^{13101307914161} is an apocalyptic number.

It is an amenable number.

13101307914161 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101307914161 is an equidigital number, since it uses as much as digits as its factorization.

13101307914161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 38.

The spelling of 13101307914161 in words is "thirteen trillion, one hundred one billion, three hundred seven million, nine hundred fourteen thousand, one hundred sixty-one".