100103111300313 has 24 divisors (see below), whose sum is σ = 157742253470880. Its totient is φ = 60667007117760.

The previous prime is 100103111300251. The next prime is 100103111300347. The reversal of 100103111300313 is 313003111301001.

100103111300313 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 31 + 11 + 300 + 313 = 666.

It is not a de Polignac number, because 100103111300313 - 2³² = 100098816333017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100103111300363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8963908 + ... + 16749861.

It is an arithmetic number, because the mean of its divisors is an integer number (6572593894620).

Almost surely, 2^{100103111300313} is an apocalyptic number.

It is an amenable number.

100103111300313 is a deficient number, since it is larger than the sum of its proper divisors (57639142170567).

100103111300313 is a wasteful number, since it uses less digits than its factorization.

100103111300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25753109 (or 25753106 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 100103111300313 its reverse (313003111301001), we get a palindrome (413106222601314).

The spelling of 100103111300313 in words is "one hundred trillion, one hundred three billion, one hundred eleven million, three hundred thousand, three hundred thirteen".