10010013 has 32 divisors (see below), whose sum is σ = 15138816. Its totient is φ = 5842368.

The previous prime is 10009981. The next prime is 10010023. The reversal of 10010013 is 31001001.

It is not a de Polignac number, because 10010013 - 2⁵ = 10009981 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10009983 and 10010010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78756 + ... + 78882.

It is an arithmetic number, because the mean of its divisors is an integer number (473088).

Almost surely, 2^10010013 is an apocalyptic number.

10010013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10010013 is a deficient number, since it is larger than the sum of its proper divisors (5128803).

10010013 is a wasteful number, since it uses less digits than its factorization.

10010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 10010013 is about 3163.8604583641. The cubic root of 10010013 is about 215.5153528646.

Adding to 10010013 its reverse (31001001), we get a palindrome (41011014).

It can be divided in two parts, 1001001 and 3, that multiplied together give a palindrome (3003003).

The spelling of 10010013 in words is "ten million, ten thousand, thirteen".