110112113100313 has 2 divisors, whose sum is σ = 110112113100314. Its totient is φ = 110112113100312.

The previous prime is 110112113100257. The next prime is 110112113100361. The reversal of 110112113100313 is 313001311211011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100313785768329 + 9798327331984 = 10015677^2 + 3130228^2 .

It is a cyclic number.

It is not a de Polignac number, because 110112113100313 - 2¹⁷ = 110112112969241 is a prime.

It is a super-2 number, since 2×110112113100313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110112113100373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55056056550156 + 55056056550157.

It is an arithmetic number, because the mean of its divisors is an integer number (55056056550157).

Almost surely, 2^{110112113100313} is an apocalyptic number.

It is an amenable number.

110112113100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

110112113100313 is an equidigital number, since it uses as much as digits as its factorization.

110112113100313 is an evil number, because the sum of its binary digits is even.

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

Adding to 110112113100313 its reverse (313001311211011), we get a palindrome (423113424311324).

The spelling of 110112113100313 in words is "one hundred ten trillion, one hundred twelve billion, one hundred thirteen million, one hundred thousand, three hundred thirteen".