113013322120213 has 2 divisors, whose sum is σ = 113013322120214. Its totient is φ = 113013322120212.

The previous prime is 113013322120207. The next prime is 113013322120249. The reversal of 113013322120213 is 312021223310311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98232242243524 + 14781079876689 = 9911218^2 + 3844617^2 .

It is an emirp because it is prime and its reverse (312021223310311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113013322120213 - 2³³ = 113004732185621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113013322120613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56506661060106 + 56506661060107.

It is an arithmetic number, because the mean of its divisors is an integer number (56506661060107).

Almost surely, 2^{113013322120213} is an apocalyptic number.

It is an amenable number.

113013322120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

113013322120213 is an equidigital number, since it uses as much as digits as its factorization.

113013322120213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 113013322120213 its reverse (312021223310311), we get a palindrome (425034545430524).

The spelling of 113013322120213 in words is "one hundred thirteen trillion, thirteen billion, three hundred twenty-two million, one hundred twenty thousand, two hundred thirteen".