103313302301313 has 24 divisors (see below), whose sum is σ = 165053083563368. Its totient is φ = 61859108236032.

The previous prime is 103313302301267. The next prime is 103313302301317. The reversal of 103313302301313 is 313103203313301.

103313302301313 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 13 + 30 + 2 + 301 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30296140581249 + 73017161720064 = 5504193^2 + 8545008^2 .

It is not a de Polignac number, because 103313302301313 - 2⁶ = 103313302301249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103313302301317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11932694020 + ... + 11932702677.

Almost surely, 2^{103313302301313} is an apocalyptic number.

103313302301313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103313302301313 is a deficient number, since it is larger than the sum of its proper divisors (61739781262055).

103313302301313 is a wasteful number, since it uses less digits than its factorization.

103313302301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865396753 (or 23865396750 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 103313302301313 its reverse (313103203313301), we get a palindrome (416416505614614).

The spelling of 103313302301313 in words is "one hundred three trillion, three hundred thirteen billion, three hundred two million, three hundred one thousand, three hundred thirteen".