120145115313 has 6 divisors (see below), whose sum is σ = 173542944354. Its totient is φ = 80096743536.

The previous prime is 120145115267. The next prime is 120145115327. The reversal of 120145115313 is 313511541021.

120145115313 is a `hidden beast` number, since 1 + 201 + 451 + 1 + 5 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78943017024 + 41202098289 = 280968^2 + 202983^2 .

It is not a de Polignac number, because 120145115313 - 2²⁴ = 120128338097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120145115353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6674728620 + ... + 6674728637.

It is an arithmetic number, because the mean of its divisors is an integer number (28923824059).

Almost surely, 2^120145115313 is an apocalyptic number.

It is an amenable number.

120145115313 is a deficient number, since it is larger than the sum of its proper divisors (53397829041).

120145115313 is a wasteful number, since it uses less digits than its factorization.

120145115313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13349457263 (or 13349457260 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 120145115313 its reverse (313511541021), we get a palindrome (433656656334).

The spelling of 120145115313 in words is "one hundred twenty billion, one hundred forty-five million, one hundred fifteen thousand, three hundred thirteen".