165345600113 has 2 divisors, whose sum is σ = 165345600114. Its totient is φ = 165345600112.

The previous prime is 165345600109. The next prime is 165345600127. The reversal of 165345600113 is 311006543561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165004939264 + 340660849 = 406208^2 + 18457^2 .

It is a cyclic number.

It is not a de Polignac number, because 165345600113 - 2² = 165345600109 is a prime.

It is a super-2 number, since 2×165345600113² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (165345600713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82672800056 + 82672800057.

It is an arithmetic number, because the mean of its divisors is an integer number (82672800057).

Almost surely, 2^165345600113 is an apocalyptic number.

It is an amenable number.

165345600113 is a deficient number, since it is larger than the sum of its proper divisors (1).

165345600113 is an equidigital number, since it uses as much as digits as its factorization.

165345600113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 165345600113 in words is "one hundred sixty-five billion, three hundred forty-five million, six hundred thousand, one hundred thirteen".