112121120313 has 12 divisors (see below), whose sum is σ = 166329830628. Its totient is φ = 72727212960.

The previous prime is 112121120269. The next prime is 112121120351. The reversal of 112121120313 is 313021121211.

112121120313 is a `hidden beast` number, since 1 + 121 + 211 + 20 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93628656144 + 18492464169 = 305988^2 + 135987^2 .

It is not a de Polignac number, because 112121120313 - 2⁶ = 112121120249 is a prime.

It is a super-2 number, since 2×112121120313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121120113) 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 in 11 ways as a sum of consecutive naturals, for example, 168349698 + ... + 168350363.

It is an arithmetic number, because the mean of its divisors is an integer number (13860819219).

Almost surely, 2^112121120313 is an apocalyptic number.

It is an amenable number.

112121120313 is a deficient number, since it is larger than the sum of its proper divisors (54208710315).

112121120313 is a wasteful number, since it uses less digits than its factorization.

112121120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336700104 (or 336700101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112121120313 its reverse (313021121211), we get a palindrome (425142241524).

The spelling of 112121120313 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, three hundred thirteen".