2013231212213 has 8 divisors (see below), whose sum is σ = 2168128746168. Its totient is φ = 1858338477504.

The previous prime is 2013231212207. The next prime is 2013231212219. The reversal of 2013231212213 is 3122121323102.

It is an interprime number because it is at equal distance from previous prime (2013231212207) and next prime (2013231212219).

It can be written as a sum of positive squares in 4 ways, for example, as 767556466609 + 1245674745604 = 876103^2 + 1116098^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2013231212213 - 2²² = 2013227017909 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 (2013231212219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303770 + ... + 2029467.

It is an arithmetic number, because the mean of its divisors is an integer number (271016093271).

Almost surely, 2^{2013231212213} is an apocalyptic number.

It is an amenable number.

2013231212213 is a deficient number, since it is larger than the sum of its proper divisors (154897533955).

2013231212213 is a wasteful number, since it uses less digits than its factorization.

2013231212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399623.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2013231212213 its reverse (3122121323102), we get a palindrome (5135352535315).

The spelling of 2013231212213 in words is "two trillion, thirteen billion, two hundred thirty-one million, two hundred twelve thousand, two hundred thirteen".