1123132085729 has 2 divisors, whose sum is σ = 1123132085730. Its totient is φ = 1123132085728.

The previous prime is 1123132085723. The next prime is 1123132085731. The reversal of 1123132085729 is 9275802313211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 856929747025 + 266202338704 = 925705^2 + 515948^2 .

It is a cyclic number.

It is not a de Polignac number, because 1123132085729 - 2⁴⁰ = 23620457953 is a prime.

It is a super-2 number, since 2×1123132085729² (a number of 25 digits) contains 22 as substring.

Together with 1123132085731, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1123132085729.

It is not a weakly prime, because it can be changed into another prime (1123132085723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561566042864 + 561566042865.

It is an arithmetic number, because the mean of its divisors is an integer number (561566042865).

Almost surely, 2^{1123132085729} is an apocalyptic number.

It is an amenable number.

1123132085729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1123132085729 is an equidigital number, since it uses as much as digits as its factorization.

1123132085729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 1123132085729 in words is "one trillion, one hundred twenty-three billion, one hundred thirty-two million, eighty-five thousand, seven hundred twenty-nine".