13105332542977 has 2 divisors, whose sum is σ = 13105332542978. Its totient is φ = 13105332542976.

The previous prime is 13105332542971. The next prime is 13105332543071. The reversal of 13105332542977 is 77924523350131.

13105332542977 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., 8169541614081 + 4935790928896 = 2858241^2 + 2221664^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105332542977 - 2³¹ = 13103185059329 is a prime.

It is not a weakly prime, because it can be changed into another prime (13105332542971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552666271488 + 6552666271489.

It is an arithmetic number, because the mean of its divisors is an integer number (6552666271489).

Almost surely, 2^{13105332542977} is an apocalyptic number.

It is an amenable number.

13105332542977 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105332542977 is an equidigital number, since it uses as much as digits as its factorization.

13105332542977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4762800, while the sum is 52.

The spelling of 13105332542977 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, five hundred forty-two thousand, nine hundred seventy-seven".