2311120013 has 2 divisors, whose sum is σ = 2311120014. Its totient is φ = 2311120012.

The previous prime is 2311120003. The next prime is 2311120027. The reversal of 2311120013 is 3100211132.

It is an a-pointer prime, because the next prime (2311120027) can be obtained adding 2311120013 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1467043204 + 844076809 = 38302^2 + 29053^2 .

It is a cyclic number.

It is not a de Polignac number, because 2311120013 - 2⁶ = 2311119949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2311120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2311120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1155560006 + 1155560007.

It is an arithmetic number, because the mean of its divisors is an integer number (1155560007).

Almost surely, 2^2311120013 is an apocalyptic number.

It is an amenable number.

2311120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2311120013 is an equidigital number, since it uses as much as digits as its factorization.

2311120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2311120013 is about 48074.1095913382. The cubic root of 2311120013 is about 1322.1300193003.

Adding to 2311120013 its reverse (3100211132), we get a palindrome (5411331145).

The spelling of 2311120013 in words is "two billion, three hundred eleven million, one hundred twenty thousand, thirteen".