100131000103 has 8 divisors (see below), whose sum is σ = 109035572400. Its totient is φ = 91589879808.

The previous prime is 100131000077. The next prime is 100131000107. The reversal of 100131000103 is 301000131001.

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

It is a cyclic number.

It is not a de Polignac number, because 100131000103 - 2¹³ = 100130991911 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100131000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131000107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 90862426 + ... + 90863527.

It is an arithmetic number, because the mean of its divisors is an integer number (13629446550).

Almost surely, 2^100131000103 is an apocalyptic number.

100131000103 is a deficient number, since it is larger than the sum of its proper divisors (8904572297).

100131000103 is a wasteful number, since it uses less digits than its factorization.

100131000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181726001.

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

Adding to 100131000103 its reverse (301000131001), we get a palindrome (401131131104).

The spelling of 100131000103 in words is "one hundred billion, one hundred thirty-one million, one hundred three", and thus it is an aban number.