100331 has 8 divisors (see below), whose sum is σ = 125184. Its totient is φ = 78120.

The previous prime is 100313. The next prime is 100333. The reversal of 100331 is 133001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100331 - 2⁶ = 100267 is a prime.

It is a super-2 number, since 2×100331² = 20132619122, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100331.

It is not an unprimeable number, because it can be changed into a prime (100333) 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 in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (15648).

2¹⁰⁰³³¹ is an apocalyptic number.

100331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100331 is a deficient number, since it is larger than the sum of its proper divisors (24853).

100331 is a wasteful number, since it uses less digits than its factorization.

100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 100331 is about 316.7506906070. The cubic root of 100331 is about 46.4670441325.

Adding to 100331 its reverse (133001), we get a palindrome (233332).

The spelling of 100331 in words is "one hundred thousand, three hundred thirty-one".