101366813 has 2 divisors, whose sum is σ = 101366814. Its totient is φ = 101366812.

The previous prime is 101366761. The next prime is 101366849. The reversal of 101366813 is 318663101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66945124 + 34421689 = 8182^2 + 5867^2 .

It is an emirp because it is prime and its reverse (318663101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101366813 - 2¹⁸ = 101104669 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101366873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50683406 + 50683407.

It is an arithmetic number, because the mean of its divisors is an integer number (50683407).

Almost surely, 2^101366813 is an apocalyptic number.

It is an amenable number.

101366813 is a deficient number, since it is larger than the sum of its proper divisors (1).

101366813 is an equidigital number, since it uses as much as digits as its factorization.

101366813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 101366813 is about 10068.1087101799. The cubic root of 101366813 is about 466.2640490559.

The spelling of 101366813 in words is "one hundred one million, three hundred sixty-six thousand, eight hundred thirteen".