100001013 has 24 divisors (see below), whose sum is σ = 155765952. Its totient is φ = 56899584.

The previous prime is 100000969. The next prime is 100001029. The reversal of 100001013 is 310100001.

It is not a de Polignac number, because 100001013 - 2¹⁰ = 99999989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100000992 and 100001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36456 + ... + 39102.

It is an arithmetic number, because the mean of its divisors is an integer number (6490248).

Almost surely, 2^100001013 is an apocalyptic number.

It is an amenable number.

100001013 is a deficient number, since it is larger than the sum of its proper divisors (55764939).

100001013 is a wasteful number, since it uses less digits than its factorization.

100001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2914 counting only the distinct ones).

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

The square root of 100001013 is about 10000.0506498717. The cubic root of 100001013 is about 464.1604506658.

Adding to 100001013 its reverse (310100001), we get a palindrome (410101014).

The spelling of 100001013 in words is "one hundred million, one thousand, thirteen".