10313201313 has 40 divisors (see below), whose sum is σ = 15912328608. Its totient is φ = 6652570176.

The previous prime is 10313201291. The next prime is 10313201321. The reversal of 10313201313 is 31310231301.

It is a happy number.

10313201313 is a `hidden beast` number, since 1 + 0 + 31 + 320 + 1 + 313 = 666.

It is not a de Polignac number, because 10313201313 - 2⁵ = 10313201281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10313201323) 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 39 ways as a sum of consecutive naturals, for example, 358845 + ... + 386517.

Almost surely, 2^10313201313 is an apocalyptic number.

It is an amenable number.

10313201313 is a deficient number, since it is larger than the sum of its proper divisors (5599127295).

10313201313 is a wasteful number, since it uses less digits than its factorization.

10313201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27835 (or 27826 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10313201313 its reverse (31310231301), we get a palindrome (41623432614).

The spelling of 10313201313 in words is "ten billion, three hundred thirteen million, two hundred one thousand, three hundred thirteen".