2011110313 has 2 divisors, whose sum is σ = 2011110314. Its totient is φ = 2011110312.

The previous prime is 2011110263. The next prime is 2011110323. The reversal of 2011110313 is 3130111102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2005875369 + 5234944 = 44787^2 + 2288^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011110313 - 2¹⁷ = 2010979241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011110293 and 2011110302.

It is not a weakly prime, because it can be changed into another prime (2011110323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005555156 + 1005555157.

It is an arithmetic number, because the mean of its divisors is an integer number (1005555157).

Almost surely, 2^2011110313 is an apocalyptic number.

It is an amenable number.

2011110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011110313 is an equidigital number, since it uses as much as digits as its factorization.

2011110313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2011110313 is about 44845.4045917751. The cubic root of 2011110313 is about 1262.2497626188.

Adding to 2011110313 its reverse (3130111102), we get a palindrome (5141221415).

The spelling of 2011110313 in words is "two billion, eleven million, one hundred ten thousand, three hundred thirteen".