110585131109 has 2 divisors, whose sum is σ = 110585131110. Its totient is φ = 110585131108.

The previous prime is 110585131093. The next prime is 110585131147. The reversal of 110585131109 is 901131585011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110570880484 + 14250625 = 332522^2 + 3775^2 .

It is a cyclic number.

It is not a de Polignac number, because 110585131109 - 2⁴ = 110585131093 is a prime.

It is a super-3 number, since 3×110585131109³ (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110585131169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55292565554 + 55292565555.

It is an arithmetic number, because the mean of its divisors is an integer number (55292565555).

Almost surely, 2^110585131109 is an apocalyptic number.

It is an amenable number.

110585131109 is a deficient number, since it is larger than the sum of its proper divisors (1).

110585131109 is an equidigital number, since it uses as much as digits as its factorization.

110585131109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 35.

The spelling of 110585131109 in words is "one hundred ten billion, five hundred eighty-five million, one hundred thirty-one thousand, one hundred nine".