10003112313 has 8 divisors (see below), whose sum is σ = 13361430528. Its totient is φ = 6656767824.

The previous prime is 10003112263. The next prime is 10003112323. The reversal of 10003112313 is 31321130001.

10003112313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10003112313 - 2⁸ = 10003112057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003112292 and 10003112301.

It is not an unprimeable number, because it can be changed into a prime (10003112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2991481 + ... + 2994822.

It is an arithmetic number, because the mean of its divisors is an integer number (1670178816).

Almost surely, 2^10003112313 is an apocalyptic number.

It is an amenable number.

10003112313 is a deficient number, since it is larger than the sum of its proper divisors (3358318215).

10003112313 is an equidigital number, since it uses as much as digits as its factorization.

10003112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986863.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10003112313 its reverse (31321130001), we get a palindrome (41324242314).

The spelling of 10003112313 in words is "ten billion, three million, one hundred twelve thousand, three hundred thirteen".