10003111313 has 8 divisors (see below), whose sum is σ = 10773681408. Its totient is φ = 9232698384.

The previous prime is 10003111249. The next prime is 10003111319. The reversal of 10003111313 is 31311130001.

It is a happy number.

10003111313 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 10003111313 - 2⁶ = 10003111249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10003111319) 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, 115520 + ... + 182622.

It is an arithmetic number, because the mean of its divisors is an integer number (1346710176).

Almost surely, 2^10003111313 is an apocalyptic number.

10003111313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10003111313 is a deficient number, since it is larger than the sum of its proper divisors (770570095).

10003111313 is a wasteful number, since it uses less digits than its factorization.

10003111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78583.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10003111313 its reverse (31311130001), we get a palindrome (41314241314).

The spelling of 10003111313 in words is "ten billion, three million, one hundred eleven thousand, three hundred thirteen".