100310131103 has 16 divisors (see below), whose sum is σ = 123997769280. Its totient is φ = 79019663616.

The previous prime is 100310131093. The next prime is 100310131109. The reversal of 100310131103 is 301131013001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100310131103 - 2⁴ = 100310131087 is a prime.

It is a super-4 number, since 4×100310131103⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310131109) 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, 2385950 + ... + 2427627.

It is an arithmetic number, because the mean of its divisors is an integer number (7749860580).

Almost surely, 2^100310131103 is an apocalyptic number.

100310131103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100310131103 is a deficient number, since it is larger than the sum of its proper divisors (23687638177).

100310131103 is a wasteful number, since it uses less digits than its factorization.

100310131103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813826.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100310131103 its reverse (301131013001), we get a palindrome (401441144104).

The spelling of 100310131103 in words is "one hundred billion, three hundred ten million, one hundred thirty-one thousand, one hundred three".