112031321313313 has 2 divisors, whose sum is σ = 112031321313314. Its totient is φ = 112031321313312.

The previous prime is 112031321313277. The next prime is 112031321313349. The reversal of 112031321313313 is 313313123130211.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (112031321313277) and next prime (112031321313349).

It can be written as a sum of positive squares in only one way, i.e., 77408182468864 + 34623138844449 = 8798192^2 + 5884143^2 .

It is a cyclic number.

It is not a de Polignac number, because 112031321313313 - 2³⁷ = 111893882359841 is a prime.

It is a super-2 number, since 2×112031321313313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112031321313413) 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, 56015660656656 + 56015660656657.

It is an arithmetic number, because the mean of its divisors is an integer number (56015660656657).

Almost surely, 2^{112031321313313} is an apocalyptic number.

It is an amenable number.

112031321313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

112031321313313 is an equidigital number, since it uses as much as digits as its factorization.

112031321313313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 112031321313313 its reverse (313313123130211), we get a palindrome (425344444443524).

The spelling of 112031321313313 in words is "one hundred twelve trillion, thirty-one billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred thirteen".