100011331 has 8 divisors (see below), whose sum is σ = 114376544. Its totient is φ = 85665600.

The previous prime is 100011287. The next prime is 100011349. The reversal of 100011331 is 133110001.

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

It is a cyclic number.

It is not a de Polignac number, because 100011331 - 2⁷ = 100011203 is a prime.

It is a super-3 number, since 3×100011331³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8641 + ... + 16573.

It is an arithmetic number, because the mean of its divisors is an integer number (14297068).

Almost surely, 2^100011331 is an apocalyptic number.

100011331 is a deficient number, since it is larger than the sum of its proper divisors (14365213).

100011331 is an equidigital number, since it uses as much as digits as its factorization.

100011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9741.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100011331 is about 10000.5665339520. The cubic root of 100011331 is about 464.1764139802.

Adding to 100011331 its reverse (133110001), we get a palindrome (233121332).

It can be divided in two parts, 10001 and 1331, that multiplied together give a palindrome (13311331).

The spelling of 100011331 in words is "one hundred million, eleven thousand, three hundred thirty-one".