117112041306313 has 2 divisors, whose sum is σ = 117112041306314. Its totient is φ = 117112041306312.

The previous prime is 117112041306311. The next prime is 117112041306371. The reversal of 117112041306313 is 313603140211711.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66000237146809 + 51111804159504 = 8124053^2 + 7149252^2 .

It is a cyclic number.

It is not a de Polignac number, because 117112041306313 - 2¹ = 117112041306311 is a prime.

Together with 117112041306311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (117112041306311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58556020653156 + 58556020653157.

It is an arithmetic number, because the mean of its divisors is an integer number (58556020653157).

Almost surely, 2^{117112041306313} is an apocalyptic number.

It is an amenable number.

117112041306313 is a deficient number, since it is larger than the sum of its proper divisors (1).

117112041306313 is an equidigital number, since it uses as much as digits as its factorization.

117112041306313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 117112041306313 in words is "one hundred seventeen trillion, one hundred twelve billion, forty-one million, three hundred six thousand, three hundred thirteen".