10002103112313 has 20 divisors (see below), whose sum is σ = 16090752776868. Its totient is φ = 6155140376160.

The previous prime is 10002103112189. The next prime is 10002103112357. The reversal of 10002103112313 is 31321130120001.

10002103112313 is a `hidden beast` number, since 100 + 0 + 21 + 0 + 311 + 231 + 3 = 666.

10002103112313 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 2 ways, for example, as 5165565292944 + 4836537819369 = 2272788^2 + 2199213^2 .

It is not a de Polignac number, because 10002103112313 - 2⁹ = 10002103111801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002103117313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4749335658 + ... + 4749337763.

Almost surely, 2^{10002103112313} is an apocalyptic number.

10002103112313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10002103112313 is a deficient number, since it is larger than the sum of its proper divisors (6088649664555).

10002103112313 is an equidigital number, since it uses as much as digits as its factorization.

10002103112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498673446 (or 9498673437 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10002103112313 its reverse (31321130120001), we get a palindrome (41323233232314).

The spelling of 10002103112313 in words is "ten trillion, two billion, one hundred three million, one hundred twelve thousand, three hundred thirteen".