1000013 has 8 divisors (see below), whose sum is σ = 1148928. Its totient is φ = 852624.

The previous prime is 1000003. The next prime is 1000033. The reversal of 1000013 is 3100001.

1000013 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 a cyclic number.

It is not a de Polignac number, because 1000013 - 2¹⁰ = 998989 is a prime.

It is a Duffinian number.

1000013 is a modest number, since divided by 13 gives 1 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 999970 and 1000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2420 + ... + 2802.

It is an arithmetic number, because the mean of its divisors is an integer number (143616).

2^1000013 is an apocalyptic number.

It is an amenable number.

1000013 is a deficient number, since it is larger than the sum of its proper divisors (148915).

1000013 is an equidigital number, since it uses as much as digits as its factorization.

1000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 1000013 is about 1000.0064999789. The cubic root of 1000013 is about 100.0004333315. Note that the first 3 decimals are identical.

Adding to 1000013 its reverse (3100001), we get a palindrome (4100014).

It can be divided in two parts, 100001 and 3, that multiplied together give a palindrome (300003).

The spelling of 1000013 in words is "one million, thirteen", and thus it is an aban number and an uban number.