120820113 has 16 divisors (see below), whose sum is σ = 184768000. Its totient is φ = 77947920.

The previous prime is 120820111. The next prime is 120820169. The reversal of 120820113 is 311028021.

It is not a de Polignac number, because 120820113 - 2¹ = 120820111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120820111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71338 + ... + 73011.

It is an arithmetic number, because the mean of its divisors is an integer number (11548000).

Almost surely, 2^120820113 is an apocalyptic number.

It is an amenable number.

120820113 is a deficient number, since it is larger than the sum of its proper divisors (63947887).

120820113 is a wasteful number, since it uses less digits than its factorization.

120820113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144389 (or 144383 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 120820113 is about 10991.8202769150. The cubic root of 120820113 is about 494.3635161950.

Adding to 120820113 its reverse (311028021), we get a palindrome (431848134).

It can be divided in two parts, 1208 and 20113, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 120820113 in words is "one hundred twenty million, eight hundred twenty thousand, one hundred thirteen".