100131181 has 2 divisors, whose sum is σ = 100131182. Its totient is φ = 100131180.

The previous prime is 100131169. The next prime is 100131193. The reversal of 100131181 is 181131001.

It is a balanced prime because it is at equal distance from previous prime (100131169) and next prime (100131193).

It can be written as a sum of positive squares in only one way, i.e., 94887081 + 5244100 = 9741^2 + 2290^2 .

It is an emirp because it is prime and its reverse (181131001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100131181 - 2⁵ = 100131149 is a prime.

It is a super-2 number, since 2×100131181² = 20052506816909522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065590 + 50065591.

It is an arithmetic number, because the mean of its divisors is an integer number (50065591).

Almost surely, 2^100131181 is an apocalyptic number.

It is an amenable number.

100131181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131181 is an equidigital number, since it uses as much as digits as its factorization.

100131181 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 16.

The square root of 100131181 is about 10006.5569003529. The cubic root of 100131181 is about 464.3617574313.

Adding to 100131181 its reverse (181131001), we get a palindrome (281262182).

The spelling of 100131181 in words is "one hundred million, one hundred thirty-one thousand, one hundred eighty-one".