100300000000031 has 16 divisors (see below), whose sum is σ = 109086315350208. Its totient is φ = 91666699488000.

The previous prime is 100300000000027. The next prime is 100300000000099. The reversal of 100300000000031 is 130000000003001.

It is not a de Polignac number, because 100300000000031 - 2² = 100300000000027 is a prime.

It is a super-2 number, since 2×100300000000031² (a number of 29 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 = 100299999999937 and 100300000000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300000500031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105099371 + ... + 106049411.

It is an arithmetic number, because the mean of its divisors is an integer number (6817894709388).

Almost surely, 2^{100300000000031} is an apocalyptic number.

100300000000031 is a deficient number, since it is larger than the sum of its proper divisors (8786315350177).

100300000000031 is a wasteful number, since it uses less digits than its factorization.

100300000000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030562.

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 100300000000031 its reverse (130000000003001), we get a palindrome (230300000003032).

The spelling of 100300000000031 in words is "one hundred trillion, three hundred billion, thirty-one", and thus it is an aban number.