20131320013313 has 2 divisors, whose sum is σ = 20131320013314. Its totient is φ = 20131320013312.

The previous prime is 20131320013307. The next prime is 20131320013327. The reversal of 20131320013313 is 31331002313102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18536322776689 + 1594997236624 = 4305383^2 + 1262932^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131320013313 - 2²⁶ = 20131252904449 is a prime.

It is not a weakly prime, because it can be changed into another prime (20131320013303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065660006656 + 10065660006657.

It is an arithmetic number, because the mean of its divisors is an integer number (10065660006657).

Almost surely, 2^{20131320013313} is an apocalyptic number.

It is an amenable number.

20131320013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131320013313 is an equidigital number, since it uses as much as digits as its factorization.

20131320013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 20131320013313 its reverse (31331002313102), we get a palindrome (51462322326415).

The spelling of 20131320013313 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty million, thirteen thousand, three hundred thirteen".