112313021002177 has 2 divisors, whose sum is σ = 112313021002178. Its totient is φ = 112313021002176.

The previous prime is 112313021002139. The next prime is 112313021002201. The reversal of 112313021002177 is 771200120313211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97182352488321 + 15130668513856 = 9858111^2 + 3889816^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112313021002177 is a prime.

It is a super-2 number, since 2×112313021002177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112313021002277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56156510501088 + 56156510501089.

It is an arithmetic number, because the mean of its divisors is an integer number (56156510501089).

Almost surely, 2^{112313021002177} is an apocalyptic number.

It is an amenable number.

112313021002177 is a deficient number, since it is larger than the sum of its proper divisors (1).

112313021002177 is an equidigital number, since it uses as much as digits as its factorization.

112313021002177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 31.

Adding to 112313021002177 its reverse (771200120313211), we get a palindrome (883513141315388).

The spelling of 112313021002177 in words is "one hundred twelve trillion, three hundred thirteen billion, twenty-one million, two thousand, one hundred seventy-seven".