100131031005 has 16 divisors (see below), whose sum is σ = 161471145984. Its totient is φ = 52982717760.

The previous prime is 100131030983. The next prime is 100131031027. The reversal of 100131031005 is 500130131001.

It is an interprime number because it is at equal distance from previous prime (100131030983) and next prime (100131031027).

It is not a de Polignac number, because 100131031005 - 2⁵ = 100131030973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26279206 + ... + 26283015.

It is an arithmetic number, because the mean of its divisors is an integer number (10091946624).

Almost surely, 2^100131031005 is an apocalyptic number.

100131031005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100131031005 is a deficient number, since it is larger than the sum of its proper divisors (61340114979).

100131031005 is a wasteful number, since it uses less digits than its factorization.

100131031005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52562356.

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 100131031005 its reverse (500130131001), we get a palindrome (600261162006).

The spelling of 100131031005 in words is "one hundred billion, one hundred thirty-one million, thirty-one thousand, five".