13084740961 has 2 divisors, whose sum is σ = 13084740962. Its totient is φ = 13084740960.

The previous prime is 13084740959. The next prime is 13084741031. The reversal of 13084740961 is 16904748031.

13084740961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8601635025 + 4483105936 = 92745^2 + 66956^2 .

It is a cyclic number.

It is not a de Polignac number, because 13084740961 - 2¹ = 13084740959 is a prime.

Together with 13084740959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13084740901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6542370480 + 6542370481.

It is an arithmetic number, because the mean of its divisors is an integer number (6542370481).

Almost surely, 2^13084740961 is an apocalyptic number.

It is an amenable number.

13084740961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13084740961 is an equidigital number, since it uses as much as digits as its factorization.

13084740961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 13084740961 in words is "thirteen billion, eighty-four million, seven hundred forty thousand, nine hundred sixty-one".