100113331 has 4 divisors (see below), whose sum is σ = 102441592. Its totient is φ = 97785072.

The previous prime is 100113329. The next prime is 100113347. The reversal of 100113331 is 133311001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 133311001 = 137 ⋅973073.

It is a cyclic number.

It is not a de Polignac number, because 100113331 - 2¹ = 100113329 is a prime.

It is a super-3 number, since 3×100113331³ (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 (100113301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1164066 + ... + 1164151.

It is an arithmetic number, because the mean of its divisors is an integer number (25610398).

Almost surely, 2^100113331 is an apocalyptic number.

100113331 is a deficient number, since it is larger than the sum of its proper divisors (2328261).

100113331 is an equidigital number, since it uses as much as digits as its factorization.

100113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328260.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 100113331 is about 10005.6649454197. The cubic root of 100113331 is about 464.3341624641.

Adding to 100113331 its reverse (133311001), we get a palindrome (233424332).

It can be divided in two parts, 1001 and 13331, that multiplied together give a palindrome (13344331).

The spelling of 100113331 in words is "one hundred million, one hundred thirteen thousand, three hundred thirty-one".