120441312313 has 16 divisors (see below), whose sum is σ = 142238684160. Its totient is φ = 99798897600.

The previous prime is 120441312301. The next prime is 120441312319. The reversal of 120441312313 is 313213144021.

It is a cyclic number.

It is not a de Polignac number, because 120441312313 - 2⁹ = 120441311801 is a prime.

It is a super-2 number, since 2×120441312313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120441312319) 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 15 ways as a sum of consecutive naturals, for example, 90718 + ... + 499111.

It is an arithmetic number, because the mean of its divisors is an integer number (8889917760).

Almost surely, 2^120441312313 is an apocalyptic number.

It is an amenable number.

120441312313 is a deficient number, since it is larger than the sum of its proper divisors (21797371847).

120441312313 is an equidigital number, since it uses as much as digits as its factorization.

120441312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590808.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 120441312313 its reverse (313213144021), we get a palindrome (433654456334).

The spelling of 120441312313 in words is "one hundred twenty billion, four hundred forty-one million, three hundred twelve thousand, three hundred thirteen".