2000011113 has 24 divisors (see below), whose sum is σ = 2918443008. Its totient is φ = 1319758272.

The previous prime is 2000011109. The next prime is 2000011147. The reversal of 2000011113 is 3111100002.

It is not a de Polignac number, because 2000011113 - 2² = 2000011109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2000011095 and 2000011104.

It is not an unprimeable number, because it can be changed into a prime (2000011813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554845 + ... + 558437.

It is an arithmetic number, because the mean of its divisors is an integer number (121601792).

Almost surely, 2^2000011113 is an apocalyptic number.

It is an amenable number.

2000011113 is a deficient number, since it is larger than the sum of its proper divisors (918431895).

2000011113 is a wasteful number, since it uses less digits than its factorization.

2000011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2000011113 is about 44721.4837969404. The cubic root of 2000011113 is about 1259.9233834743.

Adding to 2000011113 its reverse (3111100002), we get a palindrome (5111111115).

Subtracting 2000011113 from its reverse (3111100002), we obtain a square (1111088889 = 33333²).

It can be divided in two parts, 20000 and 11113, that added together give a palindrome (31113).

The spelling of 2000011113 in words is "two billion, eleven thousand, one hundred thirteen".