110320113120013 has 2 divisors, whose sum is σ = 110320113120014. Its totient is φ = 110320113120012.

The previous prime is 110320113119971. The next prime is 110320113120031. The reversal of 110320113120013 is 310021311023011.

Together with next prime (110320113120031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65872264165929 + 44447848954084 = 8116173^2 + 6666922^2 .

It is a cyclic number.

It is not a de Polignac number, because 110320113120013 - 2⁹ = 110320113119501 is a prime.

It is a super-2 number, since 2×110320113120013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110320113120073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55160056560006 + 55160056560007.

It is an arithmetic number, because the mean of its divisors is an integer number (55160056560007).

Almost surely, 2^{110320113120013} is an apocalyptic number.

It is an amenable number.

110320113120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110320113120013 is an equidigital number, since it uses as much as digits as its factorization.

110320113120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 110320113120013 its reverse (310021311023011), we get a palindrome (420341424143024).

The spelling of 110320113120013 in words is "one hundred ten trillion, three hundred twenty billion, one hundred thirteen million, one hundred twenty thousand, thirteen".