10013013 has 12 divisors (see below), whose sum is σ = 14647360. Its totient is φ = 6590376.

The previous prime is 10013011. The next prime is 10013053. The reversal of 10013013 is 31031001.

It is not a de Polignac number, because 10013013 - 2¹ = 10013011 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012986 and 10013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013011) 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 11 ways as a sum of consecutive naturals, for example, 6331 + ... + 7752.

Almost surely, 2^10013013 is an apocalyptic number.

It is an amenable number.

10013013 is a deficient number, since it is larger than the sum of its proper divisors (4634347).

10013013 is a wasteful number, since it uses less digits than its factorization.

10013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14168 (or 14165 counting only the distinct ones).

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

The square root of 10013013 is about 3164.3345271953. The cubic root of 10013013 is about 215.5368806914.

Adding to 10013013 its reverse (31031001), we get a palindrome (41044014).

The spelling of 10013013 in words is "ten million, thirteen thousand, thirteen".