1123131101233 has 2 divisors, whose sum is σ = 1123131101234. Its totient is φ = 1123131101232.

The previous prime is 1123131101231. The next prime is 1123131101293. The reversal of 1123131101233 is 3321011313211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1080751526464 + 42379574769 = 1039592^2 + 205863^2 .

It is a cyclic number.

It is not a de Polignac number, because 1123131101233 - 2¹ = 1123131101231 is a prime.

It is a super-2 number, since 2×1123131101233² (a number of 25 digits) contains 22 as substring.

Together with 1123131101231, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1123131101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561565550616 + 561565550617.

It is an arithmetic number, because the mean of its divisors is an integer number (561565550617).

Almost surely, 2^{1123131101233} is an apocalyptic number.

It is an amenable number.

1123131101233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1123131101233 is an equidigital number, since it uses as much as digits as its factorization.

1123131101233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1123131101233 its reverse (3321011313211), we get a palindrome (4444142414444).

The spelling of 1123131101233 in words is "one trillion, one hundred twenty-three billion, one hundred thirty-one million, one hundred one thousand, two hundred thirty-three".