100031000031 has 16 divisors (see below), whose sum is σ = 149721852000. Its totient is φ = 65999833344.

The previous prime is 100031000009. The next prime is 100031000051. The reversal of 100031000031 is 130000130001.

It is not a de Polignac number, because 100031000031 - 2¹⁰ = 100030999007 is a prime.

It is a super-2 number, since 2×100031000031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100030999977 and 100031000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031000051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19094556 + ... + 19099793.

It is an arithmetic number, because the mean of its divisors is an integer number (9357615750).

Almost surely, 2^100031000031 is an apocalyptic number.

100031000031 is a deficient number, since it is larger than the sum of its proper divisors (49690851969).

100031000031 is an equidigital number, since it uses as much as digits as its factorization.

100031000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38194455 (or 38194449 counting only the distinct ones).

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

Adding to 100031000031 its reverse (130000130001), we get a palindrome (230031130032).

The spelling of 100031000031 in words is "one hundred billion, thirty-one million, thirty-one", and thus it is an aban number.