100013032031 has 8 divisors (see below), whose sum is σ = 113848827264. Its totient is φ = 86967853720.

The previous prime is 100013032001. The next prime is 100013032039. The reversal of 100013032031 is 130230310001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-100013032031 is a prime.

It is a super-2 number, since 2×100013032031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100013031997 and 100013032015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013032039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197653961 + ... + 197654466.

It is an arithmetic number, because the mean of its divisors is an integer number (14231103408).

Almost surely, 2^100013032031 is an apocalyptic number.

100013032031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100013032031 is a deficient number, since it is larger than the sum of its proper divisors (13835795233).

100013032031 is a wasteful number, since it uses less digits than its factorization.

100013032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395308461.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100013032031 its reverse (130230310001), we get a palindrome (230243342032).

It can be divided in two parts, 1000 and 13032031, that added together give a palindrome (13033031).

The spelling of 100013032031 in words is "one hundred billion, thirteen million, thirty-two thousand, thirty-one".