100731133 has 2 divisors, whose sum is σ = 100731134. Its totient is φ = 100731132.

The previous prime is 100731119. The next prime is 100731143. The reversal of 100731133 is 331137001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78092569 + 22638564 = 8837^2 + 4758^2 .

It is a cyclic number.

It is not a de Polignac number, because 100731133 - 2⁵ = 100731101 is a prime.

It is a super-2 number, since 2×100731133² = 20293522310927378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100731133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100731143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50365566 + 50365567.

It is an arithmetic number, because the mean of its divisors is an integer number (50365567).

Almost surely, 2^100731133 is an apocalyptic number.

It is an amenable number.

100731133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100731133 is an equidigital number, since it uses as much as digits as its factorization.

100731133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 100731133 is about 10036.4900737260. The cubic root of 100731133 is about 465.2873438871.

Adding to 100731133 its reverse (331137001), we get a palindrome (431868134).

The spelling of 100731133 in words is "one hundred million, seven hundred thirty-one thousand, one hundred thirty-three".