100006727252713 has 2 divisors, whose sum is σ = 100006727252714. Its totient is φ = 100006727252712.

The previous prime is 100006727252699. The next prime is 100006727252717. The reversal of 100006727252713 is 317252727600001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91144216114704 + 8862511138009 = 9546948^2 + 2976997^2 .

It is a cyclic number.

It is not a de Polignac number, because 100006727252713 - 2¹³ = 100006727244521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100006727252713.

It is not a weakly prime, because it can be changed into another prime (100006727252717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50003363626356 + 50003363626357.

It is an arithmetic number, because the mean of its divisors is an integer number (50003363626357).

Almost surely, 2^{100006727252713} is an apocalyptic number.

It is an amenable number.

100006727252713 is a deficient number, since it is larger than the sum of its proper divisors (1).

100006727252713 is an equidigital number, since it uses as much as digits as its factorization.

100006727252713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 100006727252713 in words is "one hundred trillion, six billion, seven hundred twenty-seven million, two hundred fifty-two thousand, seven hundred thirteen".