100131103111 has 8 divisors (see below), whose sum is σ = 111551892480. Its totient is φ = 89241513312.

The previous prime is 100131103103. The next prime is 100131103123. The reversal of 100131103111 is 111301131001.

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 100131103111 - 2³ = 100131103103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100131103091 and 100131103100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131103511) 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 7 ways as a sum of consecutive naturals, for example, 132799495 + ... + 132800248.

It is an arithmetic number, because the mean of its divisors is an integer number (13943986560).

Almost surely, 2^100131103111 is an apocalyptic number.

100131103111 is a deficient number, since it is larger than the sum of its proper divisors (11420789369).

100131103111 is a wasteful number, since it uses less digits than its factorization.

100131103111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265599785.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100131103111 its reverse (111301131001), we get a palindrome (211432234112).

The spelling of 100131103111 in words is "one hundred billion, one hundred thirty-one million, one hundred three thousand, one hundred eleven".