106317721313 has 2 divisors, whose sum is σ = 106317721314. Its totient is φ = 106317721312.

The previous prime is 106317721271. The next prime is 106317721369. The reversal of 106317721313 is 313127713601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81688499344 + 24629221969 = 285812^2 + 156937^2 .

It is a cyclic number.

It is not a de Polignac number, because 106317721313 - 2⁶ = 106317721249 is a prime.

It is a super-2 number, since 2×106317721313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106317726313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53158860656 + 53158860657.

It is an arithmetic number, because the mean of its divisors is an integer number (53158860657).

Almost surely, 2^106317721313 is an apocalyptic number.

It is an amenable number.

106317721313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106317721313 is an equidigital number, since it uses as much as digits as its factorization.

106317721313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 35.

The spelling of 106317721313 in words is "one hundred six billion, three hundred seventeen million, seven hundred twenty-one thousand, three hundred thirteen".