2013313413213 has 24 divisors (see below), whose sum is σ = 2944114965792. Its totient is φ = 1325606120928.

The previous prime is 2013313413203. The next prime is 2013313413233. The reversal of 2013313413213 is 3123143133102.

2013313413213 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 31 + 3 + 413 + 213 = 666.

It is not a de Polignac number, because 2013313413213 - 2¹³ = 2013313405021 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013313413203) 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, 1865895 + ... + 2740107.

It is an arithmetic number, because the mean of its divisors is an integer number (122671456908).

Almost surely, 2^{2013313413213} is an apocalyptic number.

It is an amenable number.

2013313413213 is a deficient number, since it is larger than the sum of its proper divisors (930801552579).

2013313413213 is a wasteful number, since it uses less digits than its factorization.

2013313413213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877385 (or 877382 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 2013313413213 its reverse (3123143133102), we get a palindrome (5136456546315).

The spelling of 2013313413213 in words is "two trillion, thirteen billion, three hundred thirteen million, four hundred thirteen thousand, two hundred thirteen".