10001013 has 12 divisors (see below), whose sum is σ = 14657664. Its totient is φ = 6061000.

The previous prime is 10001009. The next prime is 10001053. The reversal of 10001013 is 31010001.

10001013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001013 - 2² = 10001009 is a prime.

It is a super-2 number, since 2×10001013² = 200040522052338, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10000992 and 10001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13413 + ... + 14138.

It is an arithmetic number, because the mean of its divisors is an integer number (1221472).

Almost surely, 2^10001013 is an apocalyptic number.

It is an amenable number.

10001013 is a deficient number, since it is larger than the sum of its proper divisors (4656651).

10001013 is a wasteful number, since it uses less digits than its factorization.

10001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27576 (or 27565 counting only the distinct ones).

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

The square root of 10001013 is about 3162.4378254758. The cubic root of 10001013 is about 215.4507435654.

Adding to 10001013 its reverse (31010001), we get a palindrome (41011014).

The spelling of 10001013 in words is "ten million, one thousand, thirteen".