3442120112313 has 12 divisors (see below), whose sum is σ = 4973303497188. Its totient is φ = 2294122638240.

The previous prime is 3442120112311. The next prime is 3442120112323. The reversal of 3442120112313 is 3132110212443.

3442120112313 is a `hidden beast` number, since 3 + 4 + 421 + 2 + 0 + 1 + 1 + 231 + 3 = 666.

3442120112313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2932221291129 + 509898821184 = 1712373^2 + 714072^2 .

It is not a de Polignac number, because 3442120112313 - 2¹ = 3442120112311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3442120112311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51973678 + ... + 52039863.

It is an arithmetic number, because the mean of its divisors is an integer number (414441958099).

Almost surely, 2^{3442120112313} is an apocalyptic number.

It is an amenable number.

3442120112313 is a deficient number, since it is larger than the sum of its proper divisors (1531183384875).

3442120112313 is a wasteful number, since it uses less digits than its factorization.

3442120112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104017224 (or 104017221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3442120112313 its reverse (3132110212443), we get a palindrome (6574230324756).

The spelling of 3442120112313 in words is "three trillion, four hundred forty-two billion, one hundred twenty million, one hundred twelve thousand, three hundred thirteen".