120200112213313 has 64 divisors (see below), whose sum is σ = 136688173148160. Its totient is φ = 104712420556800.

The previous prime is 120200112213191. The next prime is 120200112213323. The reversal of 120200112213313 is 313312211002021.

It is a cyclic number.

It is not a de Polignac number, because 120200112213313 - 2⁹ = 120200112212801 is a prime.

It is a super-2 number, since 2×120200112213313² (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 (120200112213323) 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 63 ways as a sum of consecutive naturals, for example, 56247126781 + ... + 56247128917.

It is an arithmetic number, because the mean of its divisors is an integer number (2135752705440).

Almost surely, 2^{120200112213313} is an apocalyptic number.

It is an amenable number.

120200112213313 is a deficient number, since it is larger than the sum of its proper divisors (16488060934847).

120200112213313 is a wasteful number, since it uses less digits than its factorization.

120200112213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 120200112213313 its reverse (313312211002021), we get a palindrome (433512323215334).

The spelling of 120200112213313 in words is "one hundred twenty trillion, two hundred billion, one hundred twelve million, two hundred thirteen thousand, three hundred thirteen".