2013100041 has 48 divisors (see below), whose sum is σ = 2893537280. Its totient is φ = 1243382400.

The previous prime is 2013099971. The next prime is 2013100043. The reversal of 2013100041 is 1400013102.

It is a happy number.

It is not a de Polignac number, because 2013100041 - 2²³ = 2004711433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013100043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12350226 + ... + 12350388.

Almost surely, 2^2013100041 is an apocalyptic number.

It is an amenable number.

2013100041 is a deficient number, since it is larger than the sum of its proper divisors (880437239).

2013100041 is a wasteful number, since it uses less digits than its factorization.

2013100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2013100041 is about 44867.5834094059. The cubic root of 2013100041 is about 1262.6659018790.

Adding to 2013100041 its reverse (1400013102), we get a palindrome (3413113143).

The spelling of 2013100041 in words is "two billion, thirteen million, one hundred thousand, forty-one".