4114331313121 has 2 divisors, whose sum is σ = 4114331313122. Its totient is φ = 4114331313120.

The previous prime is 4114331313091. The next prime is 4114331313193. The reversal of 4114331313121 is 1213131334114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3561448352400 + 552882960721 = 1887180^2 + 743561^2 .

It is a cyclic number.

It is not a de Polignac number, because 4114331313121 - 2¹¹ = 4114331311073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4114331313121.

It is not a weakly prime, because it can be changed into another prime (4114331313721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2057165656560 + 2057165656561.

It is an arithmetic number, because the mean of its divisors is an integer number (2057165656561).

Almost surely, 2^{4114331313121} is an apocalyptic number.

It is an amenable number.

4114331313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

4114331313121 is an equidigital number, since it uses as much as digits as its factorization.

4114331313121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

Adding to 4114331313121 its reverse (1213131334114), we get a palindrome (5327462647235).

The spelling of 4114331313121 in words is "four trillion, one hundred fourteen billion, three hundred thirty-one million, three hundred thirteen thousand, one hundred twenty-one".