233134112100 has 72 divisors (see below), whose sum is σ = 714213224928. Its totient is φ = 58512089600.

The previous prime is 233134112087. The next prime is 233134112129. The reversal of 233134112100 is 1211431332.

233134112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22851186 + ... + 22861385.

It is an arithmetic number, because the mean of its divisors is an integer number (9919628124).

Almost surely, 2^233134112100 is an apocalyptic number.

233134112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233134112100 is an abundant number, since it is smaller than the sum of its proper divisors (481079112828).

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

233134112100 is a wasteful number, since it uses less digits than its factorization.

233134112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45712605 (or 45712598 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 233134112100 its reverse (1211431332), we get a palindrome (234345543432).

The spelling of 233134112100 in words is "two hundred thirty-three billion, one hundred thirty-four million, one hundred twelve thousand, one hundred".