113321013121313 has 2 divisors, whose sum is σ = 113321013121314. Its totient is φ = 113321013121312.

The previous prime is 113321013121163. The next prime is 113321013121333. The reversal of 113321013121313 is 313121310123311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105785483032849 + 7535530088464 = 10285207^2 + 2745092^2 .

It is a cyclic number.

It is not a de Polignac number, because 113321013121313 - 2¹⁸ = 113321012859169 is a prime.

It is a super-2 number, since 2×113321013121313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113321013121333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56660506560656 + 56660506560657.

It is an arithmetic number, because the mean of its divisors is an integer number (56660506560657).

Almost surely, 2^{113321013121313} is an apocalyptic number.

It is an amenable number.

113321013121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113321013121313 is an equidigital number, since it uses as much as digits as its factorization.

113321013121313 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 26.

Adding to 113321013121313 its reverse (313121310123311), we get a palindrome (426442323244624).

The spelling of 113321013121313 in words is "one hundred thirteen trillion, three hundred twenty-one billion, thirteen million, one hundred twenty-one thousand, three hundred thirteen".