165214370313 has 12 divisors (see below), whose sum is σ = 238646547828. Its totient is φ = 110141266560.

The previous prime is 165214370227. The next prime is 165214370371. The reversal of 165214370313 is 313073412561.

165214370313 is a `hidden beast` number, since 1 + 65 + 214 + 3 + 70 + 313 = 666.

165214370313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 143995204089 + 21219166224 = 379467^2 + 145668^2 .

It is not a de Polignac number, because 165214370313 - 2¹⁰ = 165214369289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165214370413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958453 + ... + 1117613.

It is an arithmetic number, because the mean of its divisors is an integer number (19887212319).

Almost surely, 2^165214370313 is an apocalyptic number.

It is an amenable number.

165214370313 is a deficient number, since it is larger than the sum of its proper divisors (73432177515).

165214370313 is a wasteful number, since it uses less digits than its factorization.

165214370313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274504 (or 274501 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 165214370313 its reverse (313073412561), we get a palindrome (478287782874).

It can be divided in two parts, 16521 and 4370313, that added together give a palindrome (4386834).

The spelling of 165214370313 in words is "one hundred sixty-five billion, two hundred fourteen million, three hundred seventy thousand, three hundred thirteen".