2011303313 has 12 divisors (see below), whose sum is σ = 2078808732. Its totient is φ = 1945892160.

The previous prime is 2011303271. The next prime is 2011303361. The reversal of 2011303313 is 3133031102.

It can be written as a sum of positive squares in 6 ways, for example, as 238640704 + 1772662609 = 15448^2 + 42103^2 .

It is not a de Polignac number, because 2011303313 - 2¹⁶ = 2011237777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011303291 and 2011303300.

It is not an unprimeable number, because it can be changed into a prime (2011303013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243731 + ... + 251847.

It is an arithmetic number, because the mean of its divisors is an integer number (173234061).

Almost surely, 2^2011303313 is an apocalyptic number.

It is an amenable number.

2011303313 is a deficient number, since it is larger than the sum of its proper divisors (67505419).

2011303313 is an equidigital number, since it uses as much as digits as its factorization.

2011303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372 (or 8335 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2011303313 is about 44847.5563771316. The cubic root of 2011303313 is about 1262.2901393881.

Adding to 2011303313 its reverse (3133031102), we get a palindrome (5144334415).

The spelling of 2011303313 in words is "two billion, eleven million, three hundred three thousand, three hundred thirteen".