106800126313 has 2 divisors, whose sum is σ = 106800126314. Its totient is φ = 106800126312.

The previous prime is 106800126287. The next prime is 106800126331. The reversal of 106800126313 is 313621008601.

Together with next prime (106800126331) 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., 101564590864 + 5235535449 = 318692^2 + 72357^2 .

It is a cyclic number.

It is not a de Polignac number, because 106800126313 - 2⁹ = 106800125801 is a prime.

It is a super-2 number, since 2×106800126313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106800121313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53400063156 + 53400063157.

It is an arithmetic number, because the mean of its divisors is an integer number (53400063157).

Almost surely, 2^106800126313 is an apocalyptic number.

It is an amenable number.

106800126313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106800126313 is an equidigital number, since it uses as much as digits as its factorization.

106800126313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 106800126313 in words is "one hundred six billion, eight hundred million, one hundred twenty-six thousand, three hundred thirteen".