4123242134113 has 2 divisors, whose sum is σ = 4123242134114. Its totient is φ = 4123242134112.

The previous prime is 4123242134107. The next prime is 4123242134117. The reversal of 4123242134113 is 3114312423214.

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., 3087952164049 + 1035289970064 = 1757257^2 + 1017492^2 .

It is a cyclic number.

It is not a de Polignac number, because 4123242134113 - 2⁹ = 4123242133601 is a prime.

It is a super-2 number, since 2×4123242134113² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4123242134117) 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, 2061621067056 + 2061621067057.

It is an arithmetic number, because the mean of its divisors is an integer number (2061621067057).

Almost surely, 2^{4123242134113} is an apocalyptic number.

It is an amenable number.

4123242134113 is a deficient number, since it is larger than the sum of its proper divisors (1).

4123242134113 is an equidigital number, since it uses as much as digits as its factorization.

4123242134113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 31.

Adding to 4123242134113 its reverse (3114312423214), we get a palindrome (7237554557327).

The spelling of 4123242134113 in words is "four trillion, one hundred twenty-three billion, two hundred forty-two million, one hundred thirty-four thousand, one hundred thirteen".