2013023102013 has 24 divisors (see below), whose sum is σ = 3625184462016. Its totient is φ = 1045726286400.

The previous prime is 2013023102003. The next prime is 2013023102029. The reversal of 2013023102013 is 3102013203102.

2013023102013 is a `hidden beast` number, since 20 + 1 + 302 + 310 + 20 + 13 = 666.

It is not a de Polignac number, because 2013023102013 - 2¹⁸ = 2013022839869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013023102003) 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, 1452396928 + ... + 1452398313.

It is an arithmetic number, because the mean of its divisors is an integer number (151049352584).

Almost surely, 2^{2013023102013} is an apocalyptic number.

It is an amenable number.

2013023102013 is a deficient number, since it is larger than the sum of its proper divisors (1612161360003).

2013023102013 is a wasteful number, since it uses less digits than its factorization.

2013023102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904795265 (or 2904795262 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2013023102013 its reverse (3102013203102), we get a palindrome (5115036305115).

The spelling of 2013023102013 in words is "two trillion, thirteen billion, twenty-three million, one hundred two thousand, thirteen".