100988813 has 2 divisors, whose sum is σ = 100988814. Its totient is φ = 100988812.

The previous prime is 100988807. The next prime is 100988821. The reversal of 100988813 is 318889001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54789604 + 46199209 = 7402^2 + 6797^2 .

It is an emirp because it is prime and its reverse (318889001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100988813 - 2⁸ = 100988557 is a prime.

It is a super-2 number, since 2×100988813² = 20397480702297938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen 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 (100988843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50494406 + 50494407.

It is an arithmetic number, because the mean of its divisors is an integer number (50494407).

Almost surely, 2^100988813 is an apocalyptic number.

It is an amenable number.

100988813 is a deficient number, since it is larger than the sum of its proper divisors (1).

100988813 is an equidigital number, since it uses as much as digits as its factorization.

100988813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 100988813 is about 10049.3190316558. The cubic root of 100988813 is about 465.6837560976.

The spelling of 100988813 in words is "one hundred million, nine hundred eighty-eight thousand, eight hundred thirteen".