120330210013 has 24 divisors (see below), whose sum is σ = 134126449128. Its totient is φ = 107854036992.

The previous prime is 120330209963. The next prime is 120330210017. The reversal of 120330210013 is 310012033021.

It can be written as a sum of positive squares in 12 ways, for example, as 87023230009 + 33306980004 = 294997^2 + 182502^2 .

It is not a de Polignac number, because 120330210013 - 2¹⁷ = 120330078941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120330210017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799581 + ... + 938077.

It is an arithmetic number, because the mean of its divisors is an integer number (5588602047).

Almost surely, 2^120330210013 is an apocalyptic number.

120330210013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120330210013 is a deficient number, since it is larger than the sum of its proper divisors (13796239115).

120330210013 is a wasteful number, since it uses less digits than its factorization.

120330210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138673 (or 138660 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120330210013 its reverse (310012033021), we get a palindrome (430342243034).

The spelling of 120330210013 in words is "one hundred twenty billion, three hundred thirty million, two hundred ten thousand, thirteen".