2311413330113 has 2 divisors, whose sum is σ = 2311413330114. Its totient is φ = 2311413330112.

The previous prime is 2311413330067. The next prime is 2311413330209. The reversal of 2311413330113 is 3110333141132.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1976000924209 + 335412405904 = 1405703^2 + 579148^2 .

It is a cyclic number.

It is not a de Polignac number, because 2311413330113 - 2⁸ = 2311413329857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2311413339113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1155706665056 + 1155706665057.

It is an arithmetic number, because the mean of its divisors is an integer number (1155706665057).

Almost surely, 2^{2311413330113} is an apocalyptic number.

It is an amenable number.

2311413330113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2311413330113 is an equidigital number, since it uses as much as digits as its factorization.

2311413330113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 2311413330113 its reverse (3110333141132), we get a palindrome (5421746471245).

The spelling of 2311413330113 in words is "two trillion, three hundred eleven billion, four hundred thirteen million, three hundred thirty thousand, one hundred thirteen".