13182442536961 has 2 divisors, whose sum is σ = 13182442536962. Its totient is φ = 13182442536960.

The previous prime is 13182442536959. The next prime is 13182442536971. The reversal of 13182442536961 is 16963524428131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9560272296961 + 3622170240000 = 3091969^2 + 1903200^2 .

It is a cyclic number.

It is not a de Polignac number, because 13182442536961 - 2¹ = 13182442536959 is a prime.

It is a super-2 number, since 2×13182442536961² (a number of 27 digits) contains 22 as substring.

Together with 13182442536959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13182442536931) 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, 6591221268480 + 6591221268481.

It is an arithmetic number, because the mean of its divisors is an integer number (6591221268481).

Almost surely, 2^{13182442536961} is an apocalyptic number.

It is an amenable number.

13182442536961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13182442536961 is an equidigital number, since it uses as much as digits as its factorization.

13182442536961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7464960, while the sum is 55.

The spelling of 13182442536961 in words is "thirteen trillion, one hundred eighty-two billion, four hundred forty-two million, five hundred thirty-six thousand, nine hundred sixty-one".