27771103313 has 2 divisors, whose sum is σ = 27771103314. Its totient is φ = 27771103312.

The previous prime is 27771103291. The next prime is 27771103331. The reversal of 27771103313 is 31330117772.

Together with next prime (27771103331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26194775104 + 1576328209 = 161848^2 + 39703^2 .

It is a cyclic number.

It is not a de Polignac number, because 27771103313 - 2¹² = 27771099217 is a prime.

It is not a weakly prime, because it can be changed into another prime (27771103343) 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, 13885551656 + 13885551657.

It is an arithmetic number, because the mean of its divisors is an integer number (13885551657).

Almost surely, 2^27771103313 is an apocalyptic number.

It is an amenable number.

27771103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

27771103313 is an equidigital number, since it uses as much as digits as its factorization.

27771103313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18522, while the sum is 35.

The spelling of 27771103313 in words is "twenty-seven billion, seven hundred seventy-one million, one hundred three thousand, three hundred thirteen".