2113404013 has 32 divisors (see below), whose sum is σ = 2646097920. Its totient is φ = 1648183680.

The previous prime is 2113404001. The next prime is 2113404031. The reversal of 2113404013 is 3104043112.

It is a de Polignac number, because none of the positive numbers 2^k-2113404013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113404313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290881 + ... + 298057.

It is an arithmetic number, because the mean of its divisors is an integer number (82690560).

Almost surely, 2^2113404013 is an apocalyptic number.

2113404013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2113404013 is a deficient number, since it is larger than the sum of its proper divisors (532693907).

2113404013 is a wasteful number, since it uses less digits than its factorization.

2113404013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2113404013 is about 45971.7740901958. The cubic root of 2113404013 is about 1283.2979758329.

Adding to 2113404013 its reverse (3104043112), we get a palindrome (5217447125).

The spelling of 2113404013 in words is "two billion, one hundred thirteen million, four hundred four thousand, thirteen".