2013140553313 has 2 divisors, whose sum is σ = 2013140553314. Its totient is φ = 2013140553312.

The previous prime is 2013140553311. The next prime is 2013140553379. The reversal of 2013140553313 is 3133550413102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1525946325264 + 487194228049 = 1235292^2 + 697993^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013140553313 - 2¹ = 2013140553311 is a prime.

Together with 2013140553311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2013140553311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006570276656 + 1006570276657.

It is an arithmetic number, because the mean of its divisors is an integer number (1006570276657).

Almost surely, 2^{2013140553313} is an apocalyptic number.

It is an amenable number.

2013140553313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013140553313 is an equidigital number, since it uses as much as digits as its factorization.

2013140553313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 2013140553313 its reverse (3133550413102), we get a palindrome (5146690966415).

The spelling of 2013140553313 in words is "two trillion, thirteen billion, one hundred forty million, five hundred fifty-three thousand, three hundred thirteen".