10001313 has 40 divisors (see below), whose sum is σ = 17656320. Its totient is φ = 5520960.

The previous prime is 10001311. The next prime is 10001347. The reversal of 10001313 is 31310001.

It is not a de Polignac number, because 10001313 - 2¹ = 10001311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001295 and 10001304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17293 + ... + 17861.

It is an arithmetic number, because the mean of its divisors is an integer number (441408).

Almost surely, 2^10001313 is an apocalyptic number.

It is an amenable number.

10001313 is a deficient number, since it is larger than the sum of its proper divisors (7655007).

10001313 is an equidigital number, since it uses as much as digits as its factorization.

10001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 10001313 is about 3162.4852568826. The cubic root of 10001313 is about 215.4528978330.

Adding to 10001313 its reverse (31310001), we get a palindrome (41311314).

It can be divided in two parts, 10001 and 313, that multiplied together give a palindrome (3130313).

The spelling of 10001313 in words is "ten million, one thousand, three hundred thirteen".