13056077422081 has 2 divisors, whose sum is σ = 13056077422082. Its totient is φ = 13056077422080.

The previous prime is 13056077422049. The next prime is 13056077422123. The reversal of 13056077422081 is 18022477065031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10859133902400 + 2196943519681 = 3295320^2 + 1482209^2 .

It is a cyclic number.

It is not a de Polignac number, because 13056077422081 - 2⁵ = 13056077422049 is a prime.

It is a super-2 number, since 2×13056077422081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13056077422021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6528038711040 + 6528038711041.

It is an arithmetic number, because the mean of its divisors is an integer number (6528038711041).

Almost surely, 2^{13056077422081} is an apocalyptic number.

It is an amenable number.

13056077422081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13056077422081 is an equidigital number, since it uses as much as digits as its factorization.

13056077422081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 13056077422081 in words is "thirteen trillion, fifty-six billion, seventy-seven million, four hundred twenty-two thousand, eighty-one".