1001113113 has 128 divisors (see below), whose sum is σ = 1885814784. Its totient is φ = 455731200.

The previous prime is 1001113103. The next prime is 1001113213. The reversal of 1001113113 is 3113111001.

It is not a de Polignac number, because 1001113113 - 2²⁵ = 967558681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001113103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5786695 + ... + 5786867.

It is an arithmetic number, because the mean of its divisors is an integer number (14732928).

Almost surely, 2^1001113113 is an apocalyptic number.

1001113113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001113113 is a deficient number, since it is larger than the sum of its proper divisors (884701671).

1001113113 is a wasteful number, since it uses less digits than its factorization.

1001113113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1001113113 is about 31640.3715686147. The cubic root of 1001113113 is about 1000.3709000828.

Adding to 1001113113 its reverse (3113111001), we get a palindrome (4114224114).

The spelling of 1001113113 in words is "one billion, one million, one hundred thirteen thousand, one hundred thirteen".