2442111313121 has 2 divisors, whose sum is σ = 2442111313122. Its totient is φ = 2442111313120.

The previous prime is 2442111313099. The next prime is 2442111313129. The reversal of 2442111313121 is 1213131112442.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2225574650896 + 216536662225 = 1491836^2 + 465335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2442111313121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2442111313129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1221055656560 + 1221055656561.

It is an arithmetic number, because the mean of its divisors is an integer number (1221055656561).

Almost surely, 2^{2442111313121} is an apocalyptic number.

It is an amenable number.

2442111313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2442111313121 is an equidigital number, since it uses as much as digits as its factorization.

2442111313121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 26.

Adding to 2442111313121 its reverse (1213131112442), we get a palindrome (3655242425563).

The spelling of 2442111313121 in words is "two trillion, four hundred forty-two billion, one hundred eleven million, three hundred thirteen thousand, one hundred twenty-one".