11331112033121 has 2 divisors, whose sum is σ = 11331112033122. Its totient is φ = 11331112033120.

The previous prime is 11331112033081. The next prime is 11331112033123. The reversal of 11331112033121 is 12133021113311.

11331112033121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11176076908096 + 155035125025 = 3343064^2 + 393745^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331112033121 - 2³⁸ = 11056234126177 is a prime.

Together with 11331112033123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11331112033123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665556016560 + 5665556016561.

It is an arithmetic number, because the mean of its divisors is an integer number (5665556016561).

Almost surely, 2^{11331112033121} is an apocalyptic number.

It is an amenable number.

11331112033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331112033121 is an equidigital number, since it uses as much as digits as its factorization.

11331112033121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 11331112033121 its reverse (12133021113311), we get a palindrome (23464133146432).

The spelling of 11331112033121 in words is "eleven trillion, three hundred thirty-one billion, one hundred twelve million, thirty-three thousand, one hundred twenty-one".