106205324067313 has 2 divisors, whose sum is σ = 106205324067314. Its totient is φ = 106205324067312.

The previous prime is 106205324067251. The next prime is 106205324067331. The reversal of 106205324067313 is 313760423502601.

Together with next prime (106205324067331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80869876301824 + 25335447765489 = 8992768^2 + 5033433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106205324067313 is a prime.

It is a super-2 number, since 2×106205324067313² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106205324067313.

It is not a weakly prime, because it can be changed into another prime (106205324007313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53102662033656 + 53102662033657.

It is an arithmetic number, because the mean of its divisors is an integer number (53102662033657).

Almost surely, 2^{106205324067313} is an apocalyptic number.

It is an amenable number.

106205324067313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106205324067313 is an equidigital number, since it uses as much as digits as its factorization.

106205324067313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 43.

Adding to 106205324067313 its reverse (313760423502601), we get a palindrome (419965747569914).

The spelling of 106205324067313 in words is "one hundred six trillion, two hundred five billion, three hundred twenty-four million, sixty-seven thousand, three hundred thirteen".