2013100001 has 32 divisors (see below), whose sum is σ = 2348006400. Its totient is φ = 1707900480.

The previous prime is 2013099971. The next prime is 2013100043. The reversal of 2013100001 is 1000013102.

It is not a de Polignac number, because 2013100001 - 2¹⁸ = 2012837857 is a prime.

It is a super-2 number, since 2×2013100001² = 8105143228052400002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013100301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2343110 + ... + 2343968.

It is an arithmetic number, because the mean of its divisors is an integer number (73375200).

Almost surely, 2^2013100001 is an apocalyptic number.

It is an amenable number.

2013100001 is a deficient number, since it is larger than the sum of its proper divisors (334906399).

2013100001 is a wasteful number, since it uses less digits than its factorization.

2013100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2013100001 is about 44867.5829636498. The cubic root of 2013100001 is about 1262.6658935160.

Adding to 2013100001 its reverse (1000013102), we get a palindrome (3013113103).

The spelling of 2013100001 in words is "two billion, thirteen million, one hundred thousand, one".