112313200023329 has 2 divisors, whose sum is σ = 112313200023330. Its totient is φ = 112313200023328.

The previous prime is 112313200023229. The next prime is 112313200023331. The reversal of 112313200023329 is 923320002313211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78452613593104 + 33860586430225 = 8857348^2 + 5818985^2 .

It is an emirp because it is prime and its reverse (923320002313211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112313200023329 - 2¹² = 112313200019233 is a prime.

It is a super-2 number, since 2×112313200023329² (a number of 29 digits) contains 22 as substring.

Together with 112313200023331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 112313200023295 and 112313200023304.

It is not a weakly prime, because it can be changed into another prime (112313200023029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56156600011664 + 56156600011665.

It is an arithmetic number, because the mean of its divisors is an integer number (56156600011665).

Almost surely, 2^{112313200023329} is an apocalyptic number.

It is an amenable number.

112313200023329 is a deficient number, since it is larger than the sum of its proper divisors (1).

112313200023329 is an equidigital number, since it uses as much as digits as its factorization.

112313200023329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 112313200023329 in words is "one hundred twelve trillion, three hundred thirteen billion, two hundred million, twenty-three thousand, three hundred twenty-nine".