13133110968961 has 2 divisors, whose sum is σ = 13133110968962. Its totient is φ = 13133110968960.

The previous prime is 13133110968947. The next prime is 13133110969003. The reversal of 13133110968961 is 16986901133131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12522001358736 + 611109610225 = 3538644^2 + 781735^2 .

It is an emirp because it is prime and its reverse (16986901133131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13133110968961 - 2¹³ = 13133110960769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13133110968899 and 13133110968908.

It is not a weakly prime, because it can be changed into another prime (13133110968161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566555484480 + 6566555484481.

It is an arithmetic number, because the mean of its divisors is an integer number (6566555484481).

Almost surely, 2^{13133110968961} is an apocalyptic number.

It is an amenable number.

13133110968961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133110968961 is an equidigital number, since it uses as much as digits as its factorization.

13133110968961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 52.

The spelling of 13133110968961 in words is "thirteen trillion, one hundred thirty-three billion, one hundred ten million, nine hundred sixty-eight thousand, nine hundred sixty-one".