120333330013 has 32 divisors (see below), whose sum is σ = 135745505280. Its totient is φ = 105909534720.

The previous prime is 120333329981. The next prime is 120333330023. The reversal of 120333330013 is 310033333021.

It is a cyclic number.

It is not a de Polignac number, because 120333330013 - 2⁵ = 120333329981 is a prime.

It is a super-2 number, since 2×120333330013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120333330023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41449920 + ... + 41452822.

It is an arithmetic number, because the mean of its divisors is an integer number (4242047040).

Almost surely, 2^120333330013 is an apocalyptic number.

120333330013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120333330013 is a deficient number, since it is larger than the sum of its proper divisors (15412175267).

120333330013 is a wasteful number, since it uses less digits than its factorization.

120333330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 120333330013 its reverse (310033333021), we get a palindrome (430366663034).

The spelling of 120333330013 in words is "one hundred twenty billion, three hundred thirty-three million, three hundred thirty thousand, thirteen".