100001320133 has 16 divisors (see below), whose sum is σ = 119700758016. Its totient is φ = 82333842240.

The previous prime is 100001320127. The next prime is 100001320193. The reversal of 100001320133 is 331023100001.

It is a de Polignac number, because none of the positive numbers 2^k-100001320133 is a prime.

It is a super-2 number, since 2×100001320133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001320193) 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, 6589685 + ... + 6604842.

It is an arithmetic number, because the mean of its divisors is an integer number (7481297376).

Almost surely, 2^100001320133 is an apocalyptic number.

100001320133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100001320133 is a deficient number, since it is larger than the sum of its proper divisors (19699437883).

100001320133 is a wasteful number, since it uses less digits than its factorization.

100001320133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13194604.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100001320133 its reverse (331023100001), we get a palindrome (431024420134).

The spelling of 100001320133 in words is "one hundred billion, one million, three hundred twenty thousand, one hundred thirty-three".