100133302332 has 96 divisors (see below), whose sum is σ = 267891402240. Its totient is φ = 28516561920.

The previous prime is 100133302309. The next prime is 100133302349. The reversal of 100133302332 is 233203331001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100133302299 and 100133302308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42124728 + ... + 42127104.

It is an arithmetic number, because the mean of its divisors is an integer number (2790535440).

Almost surely, 2^100133302332 is an apocalyptic number.

100133302332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133302332 is an abundant number, since it is smaller than the sum of its proper divisors (167758099908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100133302332 is a wasteful number, since it uses less digits than its factorization.

100133302332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100133302332 its reverse (233203331001), we get a palindrome (333336633333).

The spelling of 100133302332 in words is "one hundred billion, one hundred thirty-three million, three hundred two thousand, three hundred thirty-two".