120413123244313 has 16 divisors (see below), whose sum is σ = 124629348992400. Its totient is φ = 116201182970880.

The previous prime is 120413123244287. The next prime is 120413123244331. The reversal of 120413123244313 is 313442321314021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 55536670957849 + 64876452286464 = 7452293^2 + 8054592^2 .

It is a cyclic number.

It is not a de Polignac number, because 120413123244313 - 2⁴⁵ = 85228751155481 is a prime.

It is a super-2 number, since 2×120413123244313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120413123244343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446566053 + ... + 446835613.

It is an arithmetic number, because the mean of its divisors is an integer number (7789334312025).

Almost surely, 2^{120413123244313} is an apocalyptic number.

It is an amenable number.

120413123244313 is a deficient number, since it is larger than the sum of its proper divisors (4216225748087).

120413123244313 is a wasteful number, since it uses less digits than its factorization.

120413123244313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277452.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 120413123244313 its reverse (313442321314021), we get a palindrome (433855444558334).

The spelling of 120413123244313 in words is "one hundred twenty trillion, four hundred thirteen billion, one hundred twenty-three million, two hundred forty-four thousand, three hundred thirteen".