1103323113121 has 2 divisors, whose sum is σ = 1103323113122. Its totient is φ = 1103323113120.

The previous prime is 1103323113103. The next prime is 1103323113173. The reversal of 1103323113121 is 1213113233011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 599633409600 + 503689703521 = 774360^2 + 709711^2 .

It is a cyclic number.

It is not a de Polignac number, because 1103323113121 - 2¹³ = 1103323104929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1103323113092 and 1103323113101.

It is not a weakly prime, because it can be changed into another prime (1103323113181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551661556560 + 551661556561.

It is an arithmetic number, because the mean of its divisors is an integer number (551661556561).

Almost surely, 2^{1103323113121} is an apocalyptic number.

It is an amenable number.

1103323113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1103323113121 is an equidigital number, since it uses as much as digits as its factorization.

1103323113121 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 1103323113121 its reverse (1213113233011), we get a palindrome (2316436346132).

The spelling of 1103323113121 in words is "one trillion, one hundred three billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred twenty-one".