100441131 has 12 divisors (see below), whose sum is σ = 155786472. Its totient is φ = 57394848.

The previous prime is 100441129. The next prime is 100441193. The reversal of 100441131 is 131144001.

It is not a de Polignac number, because 100441131 - 2¹ = 100441129 is a prime.

It is a super-2 number, since 2×100441131² = 20176841593118322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100441131.

It is not an unprimeable number, because it can be changed into a prime (100441111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341490 + ... + 341783.

It is an arithmetic number, because the mean of its divisors is an integer number (12982206).

Almost surely, 2^100441131 is an apocalyptic number.

100441131 is a deficient number, since it is larger than the sum of its proper divisors (55345341).

100441131 is an equidigital number, since it uses as much as digits as its factorization.

100441131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683290 (or 683283 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100441131 is about 10022.0322789342. The cubic root of 100441131 is about 464.8403984580.

Adding to 100441131 its reverse (131144001), we get a palindrome (231585132).

It can be divided in two parts, 10044 and 1131, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 100441131 in words is "one hundred million, four hundred forty-one thousand, one hundred thirty-one".