100131241 has 16 divisors (see below), whose sum is σ = 121564800. Its totient is φ = 80513280.

The previous prime is 100131223. The next prime is 100131247. The reversal of 100131241 is 142131001.

It is a cyclic number.

It is not a de Polignac number, because 100131241 - 2¹¹ = 100129193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100131247) 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 in 15 ways as a sum of consecutive naturals, for example, 40326 + ... + 42736.

It is an arithmetic number, because the mean of its divisors is an integer number (7597800).

Almost surely, 2^100131241 is an apocalyptic number.

It is an amenable number.

100131241 is a deficient number, since it is larger than the sum of its proper divisors (21433559).

100131241 is a wasteful number, since it uses less digits than its factorization.

100131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100131241 is about 10006.5598983867. The cubic root of 100131241 is about 464.3618501820.

Adding to 100131241 its reverse (142131001), we get a palindrome (242262242).

The spelling of 100131241 in words is "one hundred million, one hundred thirty-one thousand, two hundred forty-one".