1123120103313 has 16 divisors (see below), whose sum is σ = 1612808400896. Its totient is φ = 691098065280.

The previous prime is 1123120103269. The next prime is 1123120103401. The reversal of 1123120103313 is 3133010213211.

It is a happy number.

It is not a de Polignac number, because 1123120103313 - 2⁶ = 1123120103249 is a prime.

It is a super-2 number, since 2×1123120103313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1123120103313.

It is not an unprimeable number, because it can be changed into a prime (1123120103513) 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 in 15 ways as a sum of consecutive naturals, for example, 578833 + ... + 1606638.

It is an arithmetic number, because the mean of its divisors is an integer number (100800525056).

Almost surely, 2^{1123120103313} is an apocalyptic number.

1123120103313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1123120103313 is a deficient number, since it is larger than the sum of its proper divisors (489688297583).

1123120103313 is a wasteful number, since it uses less digits than its factorization.

1123120103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198664.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1123120103313 its reverse (3133010213211), we get a palindrome (4256130316524).

The spelling of 1123120103313 in words is "one trillion, one hundred twenty-three billion, one hundred twenty million, one hundred three thousand, three hundred thirteen".