2013202230013 has 8 divisors (see below), whose sum is σ = 2295597113208. Its totient is φ = 1749026371584.

The previous prime is 2013202230007. The next prime is 2013202230019. The reversal of 2013202230013 is 3100322023102.

It is an interprime number because it is at equal distance from previous prime (2013202230007) and next prime (2013202230019).

It can be written as a sum of positive squares in 4 ways, for example, as 661744829529 + 1351457400484 = 813477^2 + 1162522^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013202230013 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 (2013202230019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4554755956 + ... + 4554756397.

It is an arithmetic number, because the mean of its divisors is an integer number (286949639151).

Almost surely, 2^{2013202230013} is an apocalyptic number.

It is an amenable number.

2013202230013 is a deficient number, since it is larger than the sum of its proper divisors (282394883195).

2013202230013 is a wasteful number, since it uses less digits than its factorization.

2013202230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109512383.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2013202230013 its reverse (3100322023102), we get a palindrome (5113524253115).

The spelling of 2013202230013 in words is "two trillion, thirteen billion, two hundred two million, two hundred thirty thousand, thirteen".