165123313 has 2 divisors, whose sum is σ = 165123314. Its totient is φ = 165123312.

The previous prime is 165123307. The next prime is 165123323. The reversal of 165123313 is 313321561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137170944 + 27952369 = 11712^2 + 5287^2 .

It is a cyclic number.

It is not a de Polignac number, because 165123313 - 2⁹ = 165122801 is a prime.

It is not a weakly prime, because it can be changed into another prime (165123323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82561656 + 82561657.

It is an arithmetic number, because the mean of its divisors is an integer number (82561657).

Almost surely, 2^165123313 is an apocalyptic number.

It is an amenable number.

165123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

165123313 is an equidigital number, since it uses as much as digits as its factorization.

165123313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1620, while the sum is 25.

The square root of 165123313 is about 12850.0316342023. The cubic root of 165123313 is about 548.6172571686.

Adding to 165123313 its reverse (313321561), we get a palindrome (478444874).

It can be divided in two parts, 1651 and 23313, that added together give a square (24964 = 158²).

The spelling of 165123313 in words is "one hundred sixty-five million, one hundred twenty-three thousand, three hundred thirteen".