2013240134313 has 40 divisors (see below), whose sum is σ = 3111970526280. Its totient is φ = 1295531677440.

The previous prime is 2013240134299. The next prime is 2013240134327. The reversal of 2013240134313 is 3134310423102.

It is a happy number.

2013240134313 is a `hidden beast` number, since 20 + 1 + 324 + 0 + 1 + 3 + 4 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (2013240134299) and next prime (2013240134327).

It can be written as a sum of positive squares in 4 ways, for example, as 32231739024 + 1981008395289 = 179532^2 + 1407483^2 .

It is not a de Polignac number, because 2013240134313 - 2⁶ = 2013240134249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2013240144313) 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 39 ways as a sum of consecutive naturals, for example, 8806293 + ... + 9032013.

It is an arithmetic number, because the mean of its divisors is an integer number (77799263157).

Almost surely, 2^{2013240134313} is an apocalyptic number.

It is an amenable number.

2013240134313 is a deficient number, since it is larger than the sum of its proper divisors (1098730391967).

2013240134313 is a wasteful number, since it uses less digits than its factorization.

2013240134313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229559 (or 229550 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2013240134313 its reverse (3134310423102), we get a palindrome (5147550557415).

The spelling of 2013240134313 in words is "two trillion, thirteen billion, two hundred forty million, one hundred thirty-four thousand, three hundred thirteen".