100111131 has 12 divisors (see below), whose sum is σ = 144758640. Its totient is φ = 66669840.

The previous prime is 100111127. The next prime is 100111169. The reversal of 100111131 is 131111001.

It is not a de Polignac number, because 100111131 - 2² = 100111127 is a prime.

It is a super-2 number, since 2×100111131² = 20044477100198322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100111331) 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, 3885 + ... + 14673.

It is an arithmetic number, because the mean of its divisors is an integer number (12063220).

Almost surely, 2^100111131 is an apocalyptic number.

100111131 is a deficient number, since it is larger than the sum of its proper divisors (44647509).

100111131 is a wasteful number, since it uses less digits than its factorization.

100111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11826 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 100111131 is about 10005.5550070948. Note that the first 3 decimals coincide. The cubic root of 100111131 is about 464.3307611767.

Adding to 100111131 its reverse (131111001), we get a palindrome (231222132).

The spelling of 100111131 in words is "one hundred million, one hundred eleven thousand, one hundred thirty-one".