100133232303 has 32 divisors (see below), whose sum is σ = 147975657984. Its totient is φ = 59839339392.

The previous prime is 100133232271. The next prime is 100133232313. The reversal of 100133232303 is 303232331001.

It is not a de Polignac number, because 100133232303 - 2⁵ = 100133232271 is a prime.

It is a super-2 number, since 2×100133232303² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100133232303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133232313) 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 31 ways as a sum of consecutive naturals, for example, 117550 + ... + 462692.

It is an arithmetic number, because the mean of its divisors is an integer number (4624239312).

Almost surely, 2^100133232303 is an apocalyptic number.

100133232303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100133232303 is a deficient number, since it is larger than the sum of its proper divisors (47842425681).

100133232303 is a wasteful number, since it uses less digits than its factorization.

100133232303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345375.

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

Adding to 100133232303 its reverse (303232331001), we get a palindrome (403365563304).

The spelling of 100133232303 in words is "one hundred billion, one hundred thirty-three million, two hundred thirty-two thousand, three hundred three".