112313120100029 has 2 divisors, whose sum is σ = 112313120100030. Its totient is φ = 112313120100028.

The previous prime is 112313120099969. The next prime is 112313120100047. The reversal of 112313120100029 is 920001021313211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79307520597529 + 33005599502500 = 8905477^2 + 5745050^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112313120100029 is a prime.

It is a super-2 number, since 2×112313120100029² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112313120099980 and 112313120100007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112313120100329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56156560050014 + 56156560050015.

It is an arithmetic number, because the mean of its divisors is an integer number (56156560050015).

Almost surely, 2^{112313120100029} is an apocalyptic number.

It is an amenable number.

112313120100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

112313120100029 is an equidigital number, since it uses as much as digits as its factorization.

112313120100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 112313120100029 in words is "one hundred twelve trillion, three hundred thirteen billion, one hundred twenty million, one hundred thousand, twenty-nine".