100135333328 has 20 divisors (see below), whose sum is σ = 196012337220. Its totient is φ = 49551504384.

The previous prime is 100135333327. The next prime is 100135333339. The reversal of 100135333328 is 823333531001.

100135333328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15274982464 + 84860350864 = 123592^2 + 291308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100135333294 and 100135333303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100135333321) 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 3 ways as a sum of consecutive naturals, for example, 32258543 + ... + 32261646.

It is an arithmetic number, because the mean of its divisors is an integer number (9800616861).

Almost surely, 2^100135333328 is an apocalyptic number.

It is an amenable number.

100135333328 is a deficient number, since it is larger than the sum of its proper divisors (95877003892).

100135333328 is an equidigital number, since it uses as much as digits as its factorization.

100135333328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64520294 (or 64520288 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 100135333328 its reverse (823333531001), we get a palindrome (923468864329).

The spelling of 100135333328 in words is "one hundred billion, one hundred thirty-five million, three hundred thirty-three thousand, three hundred twenty-eight".