100133003113 has 96 divisors (see below), whose sum is σ = 127729198080. Its totient is φ = 77618661120.

The previous prime is 100133003059. The next prime is 100133003141. The reversal of 100133003113 is 311300331001.

It is not a de Polignac number, because 100133003113 - 2⁹ = 100133002601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100133003813) 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 95 ways as a sum of consecutive naturals, for example, 196724703 + ... + 196725211.

It is an arithmetic number, because the mean of its divisors is an integer number (1330512480).

Almost surely, 2^100133003113 is an apocalyptic number.

100133003113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100133003113 is a deficient number, since it is larger than the sum of its proper divisors (27596194967).

100133003113 is a wasteful number, since it uses less digits than its factorization.

100133003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100133003113 its reverse (311300331001), we get a palindrome (411433334114).

The spelling of 100133003113 in words is "one hundred billion, one hundred thirty-three million, three thousand, one hundred thirteen".