2013210030013 has 32 divisors (see below), whose sum is σ = 2483779612160. Its totient is φ = 1589025911040.

The previous prime is 2013210029947. The next prime is 2013210030037. The reversal of 2013210030013 is 3100300123102.

It is a cyclic number.

It is not a de Polignac number, because 2013210030013 - 2¹⁷ = 2013209898941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013210030313) 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, 156920083 + ... + 156932911.

It is an arithmetic number, because the mean of its divisors is an integer number (77618112880).

Almost surely, 2^{2013210030013} is an apocalyptic number.

It is an amenable number.

2013210030013 is a deficient number, since it is larger than the sum of its proper divisors (470569582147).

2013210030013 is a wasteful number, since it uses less digits than its factorization.

2013210030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16877.

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

Adding to 2013210030013 its reverse (3100300123102), we get a palindrome (5113510153115).

The spelling of 2013210030013 in words is "two trillion, thirteen billion, two hundred ten million, thirty thousand, thirteen".