112100002101313 has 2 divisors, whose sum is σ = 112100002101314. Its totient is φ = 112100002101312.

The previous prime is 112100002101211. The next prime is 112100002101349. The reversal of 112100002101313 is 313101200001211.

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., 62656280087184 + 49443722014129 = 7915572^2 + 7031623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112100002101313 is a prime.

It is a super-2 number, since 2×112100002101313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112100002108313) 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, 56050001050656 + 56050001050657.

It is an arithmetic number, because the mean of its divisors is an integer number (56050001050657).

Almost surely, 2^{112100002101313} is an apocalyptic number.

It is an amenable number.

112100002101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100002101313 is an equidigital number, since it uses as much as digits as its factorization.

112100002101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 112100002101313 its reverse (313101200001211), we get a palindrome (425201202102524).

The spelling of 112100002101313 in words is "one hundred twelve trillion, one hundred billion, two million, one hundred one thousand, three hundred thirteen".