100031131 has 4 divisors (see below), whose sum is σ = 100534000. Its totient is φ = 99528264.

The previous prime is 100031101. The next prime is 100031159. The reversal of 100031131 is 131130001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100031131 - 2⁷ = 100031003 is a prime.

It is a super-2 number, since 2×100031131² = 20012454338278322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100031101) 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 3 ways as a sum of consecutive naturals, for example, 251136 + ... + 251533.

It is an arithmetic number, because the mean of its divisors is an integer number (25133500).

Almost surely, 2^100031131 is an apocalyptic number.

100031131 is a deficient number, since it is larger than the sum of its proper divisors (502869).

100031131 is an equidigital number, since it uses as much as digits as its factorization.

100031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502868.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100031131 is about 10001.5564288765. The cubic root of 100031131 is about 464.2070441313.

Adding to 100031131 its reverse (131130001), we get a palindrome (231161132).

It can be divided in two parts, 1000 and 31131, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 100031131 in words is "one hundred million, thirty-one thousand, one hundred thirty-one".