20131323200113 has 2 divisors, whose sum is σ = 20131323200114. Its totient is φ = 20131323200112.

The previous prime is 20131323200111. The next prime is 20131323200159. The reversal of 20131323200113 is 31100232313102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10430135303184 + 9701187896929 = 3229572^2 + 3114673^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131323200113 - 2¹ = 20131323200111 is a prime.

Together with 20131323200111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20131323200111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065661600056 + 10065661600057.

It is an arithmetic number, because the mean of its divisors is an integer number (10065661600057).

Almost surely, 2^{20131323200113} is an apocalyptic number.

It is an amenable number.

20131323200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131323200113 is an equidigital number, since it uses as much as digits as its factorization.

20131323200113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 20131323200113 its reverse (31100232313102), we get a palindrome (51231555513215).

The spelling of 20131323200113 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty-three million, two hundred thousand, one hundred thirteen".