2013002330301 has 18 divisors (see below), whose sum is σ = 3019350098622. Its totient is φ = 1342001549160.

The previous prime is 2013002330291. The next prime is 2013002330303. The reversal of 2013002330301 is 1030332003102.

2013002330301 is a `hidden beast` number, since 2 + 0 + 1 + 30 + 0 + 2 + 330 + 301 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1186901302500 + 826101027801 = 1089450^2 + 908901^2 .

It is not a de Polignac number, because 2013002330301 - 2¹⁰ = 2013002329277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013002330303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 153400110 + ... + 153413231.

Almost surely, 2^{2013002330301} is an apocalyptic number.

It is an amenable number.

2013002330301 is a deficient number, since it is larger than the sum of its proper divisors (1006347768321).

2013002330301 is an frugal number, since it uses more digits than its factorization.

2013002330301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306813365 (or 306813344 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2013002330301 its reverse (1030332003102), we get a palindrome (3043334333403).

The spelling of 2013002330301 in words is "two trillion, thirteen billion, two million, three hundred thirty thousand, three hundred one".