11311111144121 has 2 divisors, whose sum is σ = 11311111144122. Its totient is φ = 11311111144120.

The previous prime is 11311111144093. The next prime is 11311111144217. The reversal of 11311111144121 is 12144111111311.

It is a m-pointer prime, because the next prime (11311111144217) can be obtained adding 11311111144121 to its product of digits (96).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10093398894121 + 1217712250000 = 3177011^2 + 1103500^2 .

It is a cyclic number.

It is not a de Polignac number, because 11311111144121 - 2³⁸ = 11036233237177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11311111144321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5655555572060 + 5655555572061.

It is an arithmetic number, because the mean of its divisors is an integer number (5655555572061).

Almost surely, 2^{11311111144121} is an apocalyptic number.

It is an amenable number.

11311111144121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11311111144121 is an equidigital number, since it uses as much as digits as its factorization.

11311111144121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 96, while the sum is 23.

Adding to 11311111144121 its reverse (12144111111311), we get a palindrome (23455222255432).

The spelling of 11311111144121 in words is "eleven trillion, three hundred eleven billion, one hundred eleven million, one hundred forty-four thousand, one hundred twenty-one".