100413333 has 12 divisors (see below), whose sum is σ = 146538028. Its totient is φ = 66251520.

The previous prime is 100413329. The next prime is 100413349. The reversal of 100413333 is 333314001.

It can be written as a sum of positive squares in 2 ways, for example, as 81595089 + 18818244 = 9033^2 + 4338^2 .

It is not a de Polignac number, because 100413333 - 2² = 100413329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414333) 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 11 ways as a sum of consecutive naturals, for example, 56638 + ... + 58383.

Almost surely, 2^100413333 is an apocalyptic number.

It is an amenable number.

100413333 is a deficient number, since it is larger than the sum of its proper divisors (46124695).

100413333 is a wasteful number, since it uses less digits than its factorization.

100413333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115124 (or 115121 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 100413333 is about 10020.6453384999. The cubic root of 100413333 is about 464.7975115599.

Adding to 100413333 its reverse (333314001), we get a palindrome (433727334).

The spelling of 100413333 in words is "one hundred million, four hundred thirteen thousand, three hundred thirty-three".