120513315021 has 16 divisors (see below), whose sum is σ = 180946679808. Its totient is φ = 70682295600.

The previous prime is 120513315011. The next prime is 120513315023.

120513315021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120513315021 - 2⁵ = 120513314989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120513314982 and 120513315000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120513315023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58900891 + ... + 58902936.

It is an arithmetic number, because the mean of its divisors is an integer number (11309167488).

Almost surely, 2^120513315021 is an apocalyptic number.

120513315021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120513315021 is a deficient number, since it is larger than the sum of its proper divisors (60433364787).

120513315021 is a wasteful number, since it uses less digits than its factorization.

120513315021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117803872.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 120513 and 315021, that added together give a palindrome (435534).

The spelling of 120513315021 in words is "one hundred twenty billion, five hundred thirteen million, three hundred fifteen thousand, twenty-one".