100003181 has 2 divisors, whose sum is σ = 100003182. Its totient is φ = 100003180.

The previous prime is 100003157. The next prime is 100003219. The reversal of 100003181 is 181300001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96138025 + 3865156 = 9805^2 + 1966^2 .

It is an emirp because it is prime and its reverse (181300001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100003181 - 2²² = 95808877 is a prime.

It is a super-3 number, since 3×100003181³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (100003151) 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, 50001590 + 50001591.

It is an arithmetic number, because the mean of its divisors is an integer number (50001591).

Almost surely, 2^100003181 is an apocalyptic number.

It is an amenable number.

100003181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100003181 is an equidigital number, since it uses as much as digits as its factorization.

100003181 is an odious number, because the sum of its binary digits is odd.

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

The square root of 100003181 is about 10000.1590487352. The cubic root of 100003181 is about 464.1638049405.

Adding to 100003181 its reverse (181300001), we get a palindrome (281303182).

The spelling of 100003181 in words is "one hundred million, three thousand, one hundred eighty-one".