1123220133311 has 2 divisors, whose sum is σ = 1123220133312. Its totient is φ = 1123220133310.

The previous prime is 1123220133283. The next prime is 1123220133313. The reversal of 1123220133311 is 1133310223211.

It is a strong prime.

It is an emirp because it is prime and its reverse (1133310223211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1123220133311 - 2³⁴ = 1106040264127 is a prime.

It is a super-2 number, since 2×1123220133311² (a number of 25 digits) contains 22 as substring.

Together with 1123220133313, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1123220133313) 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, 561610066655 + 561610066656.

It is an arithmetic number, because the mean of its divisors is an integer number (561610066656).

Almost surely, 2^{1123220133311} is an apocalyptic number.

1123220133311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1123220133311 is an equidigital number, since it uses as much as digits as its factorization.

1123220133311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1123220133311 its reverse (1133310223211), we get a palindrome (2256530356522).

The spelling of 1123220133311 in words is "one trillion, one hundred twenty-three billion, two hundred twenty million, one hundred thirty-three thousand, three hundred eleven".