100131281 has 2 divisors, whose sum is σ = 100131282. Its totient is φ = 100131280.

The previous prime is 100131263. The next prime is 100131313. The reversal of 100131281 is 182131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92948881 + 7182400 = 9641^2 + 2680^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131281 - 2¹⁴ = 100114897 is a prime.

It is a super-2 number, since 2×100131281² = 20052546869401922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100131211) 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, 50065640 + 50065641.

It is an arithmetic number, because the mean of its divisors is an integer number (50065641).

Almost surely, 2^100131281 is an apocalyptic number.

It is an amenable number.

100131281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131281 is an equidigital number, since it uses as much as digits as its factorization.

100131281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 100131281 is about 10006.5618970753. The cubic root of 100131281 is about 464.3619120157.

Adding to 100131281 its reverse (182131001), we get a palindrome (282262282).

The spelling of 100131281 in words is "one hundred million, one hundred thirty-one thousand, two hundred eighty-one".