120513 has 12 divisors (see below), whose sum is σ = 171920. Its totient is φ = 75072.

The previous prime is 120511. The next prime is 120539. The reversal of 120513 is 315021.

It is not a de Polignac number, because 120513 - 2¹ = 120511 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798 + ... + 936.

2¹²⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

120513 is a deficient number, since it is larger than the sum of its proper divisors (51407).

120513 is a wasteful number, since it uses less digits than its factorization.

120513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 120513 is about 347.1498235633. The cubic root of 120513 is about 49.3944286089.

Adding to 120513 its reverse (315021), we get a palindrome (435534).

The spelling of 120513 in words is "one hundred twenty thousand, five hundred thirteen".