101000813 has 2 divisors, whose sum is σ = 101000814. Its totient is φ = 101000812.

The previous prime is 101000807. The next prime is 101000833. The reversal of 101000813 is 318000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69438889 + 31561924 = 8333^2 + 5618^2 .

It is an emirp because it is prime and its reverse (318000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000813 - 2⁶ = 101000749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500406 + 50500407.

It is an arithmetic number, because the mean of its divisors is an integer number (50500407).

Almost surely, 2^101000813 is an apocalyptic number.

It is an amenable number.

101000813 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000813 is an equidigital number, since it uses as much as digits as its factorization.

101000813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 101000813 is about 10049.9160693013. The cubic root of 101000813 is about 465.7022003311.

Adding to 101000813 its reverse (318000101), we get a palindrome (419000914).

The spelling of 101000813 in words is "one hundred one million, eight hundred thirteen", and thus it is an aban number.