100231131 has 32 divisors (see below), whose sum is σ = 179440128. Its totient is φ = 48061440.

The previous prime is 100231121. The next prime is 100231139. The reversal of 100231131 is 131132001.

It is not a de Polignac number, because 100231131 - 2¹⁰ = 100230107 is a prime.

It is a super-2 number, since 2×100231131² = 20092559243078322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100231139) 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 31 ways as a sum of consecutive naturals, for example, 13686 + ... + 19691.

It is an arithmetic number, because the mean of its divisors is an integer number (5607504).

Almost surely, 2^100231131 is an apocalyptic number.

100231131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100231131 is a deficient number, since it is larger than the sum of its proper divisors (79208997).

100231131 is a wasteful number, since it uses less digits than its factorization.

100231131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33411.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100231131 is about 10011.5498800136. The cubic root of 100231131 is about 464.5162132254.

Adding to 100231131 its reverse (131132001), we get a palindrome (231363132).

The spelling of 100231131 in words is "one hundred million, two hundred thirty-one thousand, one hundred thirty-one".