100000131 has 24 divisors (see below), whose sum is σ = 169205184. Its totient is φ = 51947280.

The previous prime is 100000127. The next prime is 100000193. The reversal of 100000131 is 131000001.

It is not a de Polignac number, because 100000131 - 2² = 100000127 is a prime.

It is a super-2 number, since 2×100000131² = 20000052400034322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100000231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29305 + ... + 32538.

It is an arithmetic number, because the mean of its divisors is an integer number (7050216).

Almost surely, 2^100000131 is an apocalyptic number.

100000131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100000131 is a deficient number, since it is larger than the sum of its proper divisors (69205053).

100000131 is a wasteful number, since it uses less digits than its factorization.

100000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61871 (or 61864 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100000131 is about 10000.0065499979. The cubic root of 100000131 is about 464.1590860439.

Adding to 100000131 its reverse (131000001), we get a palindrome (231000132).

The spelling of 100000131 in words is "one hundred million, one hundred thirty-one", and thus it is an aban number.