1004116113 has 96 divisors (see below), whose sum is σ = 1959939072. Its totient is φ = 478396800.

The previous prime is 1004116093. The next prime is 1004116159. The reversal of 1004116113 is 3116114001.

1004116113 is a `hidden beast` number, since 10 + 0 + 41 + 1 + 611 + 3 = 666.

It is not a de Polignac number, because 1004116113 - 2⁹ = 1004115601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004116163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2044798 + ... + 2045288.

It is an arithmetic number, because the mean of its divisors is an integer number (20416032).

Almost surely, 2^1004116113 is an apocalyptic number.

1004116113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1004116113 is a deficient number, since it is larger than the sum of its proper divisors (955822959).

1004116113 is a wasteful number, since it uses less digits than its factorization.

1004116113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1004116113 is about 31687.7912294309. The cubic root of 1004116113 is about 1001.3701594723.

The spelling of 1004116113 in words is "one billion, four million, one hundred sixteen thousand, one hundred thirteen".