100013149 has 2 divisors, whose sum is σ = 100013150. Its totient is φ = 100013148.

The previous prime is 100013143. The next prime is 100013167. The reversal of 100013149 is 941310001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50310649 + 49702500 = 7093^2 + 7050^2 .

It is a cyclic number.

It is not a de Polignac number, because 100013149 - 2⁷ = 100013021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006574 + 50006575.

It is an arithmetic number, because the mean of its divisors is an integer number (50006575).

Almost surely, 2^100013149 is an apocalyptic number.

It is an amenable number.

100013149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013149 is an equidigital number, since it uses as much as digits as its factorization.

100013149 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 19.

The square root of 100013149 is about 10000.6574283894. The cubic root of 100013149 is about 464.1792265535.

The spelling of 100013149 in words is "one hundred million, thirteen thousand, one hundred forty-nine".