2313112212241 has 2 divisors, whose sum is σ = 2313112212242. Its totient is φ = 2313112212240.

The previous prime is 2313112212157. The next prime is 2313112212263. The reversal of 2313112212241 is 1422122113132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2202137281600 + 110974930641 = 1483960^2 + 333129^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313112212241 - 2⁷ = 2313112212113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2313112242241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156556106120 + 1156556106121.

It is an arithmetic number, because the mean of its divisors is an integer number (1156556106121).

Almost surely, 2^{2313112212241} is an apocalyptic number.

It is an amenable number.

2313112212241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313112212241 is an equidigital number, since it uses as much as digits as its factorization.

2313112212241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 25.

Adding to 2313112212241 its reverse (1422122113132), we get a palindrome (3735234325373).

The spelling of 2313112212241 in words is "two trillion, three hundred thirteen billion, one hundred twelve million, two hundred twelve thousand, two hundred forty-one".