11123133013121 has 2 divisors, whose sum is σ = 11123133013122. Its totient is φ = 11123133013120.

The previous prime is 11123133013073. The next prime is 11123133013123. The reversal of 11123133013121 is 12131033132111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8734176372496 + 2388956640625 = 2955364^2 + 1545625^2 .

It is a cyclic number.

It is not a de Polignac number, because 11123133013121 - 2¹⁰ = 11123133012097 is a prime.

Together with 11123133013123, 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 (11123133013123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561566506560 + 5561566506561.

It is an arithmetic number, because the mean of its divisors is an integer number (5561566506561).

Almost surely, 2^{11123133013121} is an apocalyptic number.

It is an amenable number.

11123133013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

11123133013121 is an equidigital number, since it uses as much as digits as its factorization.

11123133013121 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 11123133013121 its reverse (12131033132111), we get a palindrome (23254166145232).

The spelling of 11123133013121 in words is "eleven trillion, one hundred twenty-three billion, one hundred thirty-three million, thirteen thousand, one hundred twenty-one".