100131149 has 2 divisors, whose sum is σ = 100131150. Its totient is φ = 100131148.

The previous prime is 100131127. The next prime is 100131169. The reversal of 100131149 is 941131001.

It is an a-pointer prime, because the next prime (100131169) can be obtained adding 100131149 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89775625 + 10355524 = 9475^2 + 3218^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100131149 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100131149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065574 + 50065575.

It is an arithmetic number, because the mean of its divisors is an integer number (50065575).

Almost surely, 2^100131149 is an apocalyptic number.

It is an amenable number.

100131149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131149 is an equidigital number, since it uses as much as digits as its factorization.

100131149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 100131149 is about 10006.5553014012. Note that the first 3 decimals coincide. The cubic root of 100131149 is about 464.3617079643.

The spelling of 100131149 in words is "one hundred million, one hundred thirty-one thousand, one hundred forty-nine".