120013032113 has 8 divisors (see below), whose sum is σ = 129570363048. Its totient is φ = 110502209664.

The previous prime is 120013032079. The next prime is 120013032157. The reversal of 120013032113 is 311230310021.

It can be written as a sum of positive squares in 4 ways, for example, as 6324702784 + 113688329329 = 79528^2 + 337177^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120013032113 - 2¹² = 120013028017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120013032091 and 120013032100.

It is not an unprimeable number, because it can be changed into a prime (120013031113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11621756 + ... + 11632077.

It is an arithmetic number, because the mean of its divisors is an integer number (16196295381).

Almost surely, 2^120013032113 is an apocalyptic number.

120013032113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120013032113 is a deficient number, since it is larger than the sum of its proper divisors (9557330935).

120013032113 is a wasteful number, since it uses less digits than its factorization.

120013032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23254243.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 120013032113 its reverse (311230310021), we get a palindrome (431243342134).

The spelling of 120013032113 in words is "one hundred twenty billion, thirteen million, thirty-two thousand, one hundred thirteen".