2000113311 has 24 divisors (see below), whose sum is σ = 3160761264. Its totient is φ = 1121352960.

The previous prime is 2000113301. The next prime is 2000113319. The reversal of 2000113311 is 1133110002.

It is not a de Polignac number, because 2000113311 - 2¹⁰ = 2000112287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000113319) 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, 120570 + ... + 136151.

It is an arithmetic number, because the mean of its divisors is an integer number (131698386).

Almost surely, 2^2000113311 is an apocalyptic number.

2000113311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2000113311 is a deficient number, since it is larger than the sum of its proper divisors (1160647953).

2000113311 is a wasteful number, since it uses less digits than its factorization.

2000113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256791 (or 256784 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2000113311 is about 44722.6263875457. The cubic root of 2000113311 is about 1259.9448432646.

Adding to 2000113311 its reverse (1133110002), we get a palindrome (3133223313).

The spelling of 2000113311 in words is "two billion, one hundred thirteen thousand, three hundred eleven".