110101320311113 has 2 divisors, whose sum is σ = 110101320311114. Its totient is φ = 110101320311112.

The previous prime is 110101320311089. The next prime is 110101320311267. The reversal of 110101320311113 is 311113023101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59676366602304 + 50424953708809 = 7725048^2 + 7101053^2 .

It is an emirp because it is prime and its reverse (311113023101011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110101320311113 is a prime.

It is a super-2 number, since 2×110101320311113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110101320381113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050660155556 + 55050660155557.

It is an arithmetic number, because the mean of its divisors is an integer number (55050660155557).

Almost surely, 2^{110101320311113} is an apocalyptic number.

It is an amenable number.

110101320311113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101320311113 is an equidigital number, since it uses as much as digits as its factorization.

110101320311113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 110101320311113 its reverse (311113023101011), we get a palindrome (421214343412124).

The spelling of 110101320311113 in words is "one hundred ten trillion, one hundred one billion, three hundred twenty million, three hundred eleven thousand, one hundred thirteen".