10310103011313 has 18 divisors (see below), whose sum is σ = 17323778529954. Its totient is φ = 5891487434784.

The previous prime is 10310103011233. The next prime is 10310103011363. The reversal of 10310103011313 is 31311030101301.

10310103011313 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 0 + 30 + 11 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9854218774449 + 455884236864 = 3139143^2 + 675192^2 .

It is not a de Polignac number, because 10310103011313 - 2¹⁰ = 10310103010289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10310103011363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11689458756 + ... + 11689459637.

It is an arithmetic number, because the mean of its divisors is an integer number (962432140553).

Almost surely, 2^{10310103011313} is an apocalyptic number.

It is an amenable number.

10310103011313 is a deficient number, since it is larger than the sum of its proper divisors (7013675518641).

10310103011313 is a wasteful number, since it uses less digits than its factorization.

10310103011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23378918413 (or 23378918403 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10310103011313 its reverse (31311030101301), we get a palindrome (41621133112614).

The spelling of 10310103011313 in words is "ten trillion, three hundred ten billion, one hundred three million, eleven thousand, three hundred thirteen".