2013421442113 has 2 divisors, whose sum is σ = 2013421442114. Its totient is φ = 2013421442112.

The previous prime is 2013421442069. The next prime is 2013421442147. The reversal of 2013421442113 is 3112441243102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1135624841649 + 877796600464 = 1065657^2 + 936908^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013421442113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013421442213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006710721056 + 1006710721057.

It is an arithmetic number, because the mean of its divisors is an integer number (1006710721057).

Almost surely, 2^{2013421442113} is an apocalyptic number.

It is an amenable number.

2013421442113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013421442113 is an equidigital number, since it uses as much as digits as its factorization.

2013421442113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2013421442113 its reverse (3112441243102), we get a palindrome (5125862685215).

The spelling of 2013421442113 in words is "two trillion, thirteen billion, four hundred twenty-one million, four hundred forty-two thousand, one hundred thirteen".