120220101300013 has 32 divisors (see below), whose sum is σ = 143316779477760. Its totient is φ = 99407957391360.

The previous prime is 120220101299971. The next prime is 120220101300017. The reversal of 120220101300013 is 310003101022021.

It is a cyclic number.

It is not a de Polignac number, because 120220101300013 - 2²⁹ = 120219564429101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120220101300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220101300017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15747145 + ... + 22100062.

It is an arithmetic number, because the mean of its divisors is an integer number (4478649358680).

Almost surely, 2^{120220101300013} is an apocalyptic number.

120220101300013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120220101300013 is a deficient number, since it is larger than the sum of its proper divisors (23096678177747).

120220101300013 is a wasteful number, since it uses less digits than its factorization.

120220101300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37847557.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120220101300013 its reverse (310003101022021), we get a palindrome (430223202322034).

The spelling of 120220101300013 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred one million, three hundred thousand, thirteen".