100313020133 has 16 divisors (see below), whose sum is σ = 102218941440. Its totient is φ = 98429727744.

The previous prime is 100313020121. The next prime is 100313020183. The reversal of 100313020133 is 331020313001.

It is a cyclic number.

It is not a de Polignac number, because 100313020133 - 2³⁴ = 83133150949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313020183) 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 15 ways as a sum of consecutive naturals, for example, 4680560 + ... + 4701942.

It is an arithmetic number, because the mean of its divisors is an integer number (6388683840).

Almost surely, 2^100313020133 is an apocalyptic number.

It is an amenable number.

100313020133 is a deficient number, since it is larger than the sum of its proper divisors (1905921307).

100313020133 is a wasteful number, since it uses less digits than its factorization.

100313020133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21908.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100313020133 its reverse (331020313001), we get a palindrome (431333333134).

The spelling of 100313020133 in words is "one hundred billion, three hundred thirteen million, twenty thousand, one hundred thirty-three".