13122302123313 has 6 divisors (see below), whose sum is σ = 18954436400354. Its totient is φ = 8748201415536.

The previous prime is 13122302123297. The next prime is 13122302123323. The reversal of 13122302123313 is 31332120322131.

13122302123313 is a `hidden beast` number, since 1 + 3 + 1 + 22 + 302 + 1 + 2 + 331 + 3 = 666.

13122302123313 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 only one way, i.e., 12651914644209 + 470387479104 = 3556953^2 + 685848^2 .

It is not a de Polignac number, because 13122302123313 - 2⁴ = 13122302123297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13122302123323) 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, 729016784620 + ... + 729016784637.

Almost surely, 2^{13122302123313} is an apocalyptic number.

It is an amenable number.

13122302123313 is a deficient number, since it is larger than the sum of its proper divisors (5832134277041).

13122302123313 is a wasteful number, since it uses less digits than its factorization.

13122302123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458033569263 (or 1458033569260 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13122302123313 its reverse (31332120322131), we get a palindrome (44454422445444).

The spelling of 13122302123313 in words is "thirteen trillion, one hundred twenty-two billion, three hundred two million, one hundred twenty-three thousand, three hundred thirteen".