233134441300 has 36 divisors (see below), whose sum is σ = 505926478876. Its totient is φ = 93249216000.

The previous prime is 233134441277. The next prime is 233134441313. The reversal of 233134441300 is 3144431332.

233134441300 is digitally balanced in base 2, 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 6 ways, for example, as 91086861636 + 142047579664 = 301806^2 + 376892^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2626444 + ... + 2713756.

Almost surely, 2^233134441300 is an apocalyptic number.

233134441300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233134441300 is an abundant number, since it is smaller than the sum of its proper divisors (272792037576).

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

233134441300 is a wasteful number, since it uses less digits than its factorization.

233134441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114028 (or 114021 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 233134441300 its reverse (3144431332), we get a palindrome (236278872632).

The spelling of 233134441300 in words is "two hundred thirty-three billion, one hundred thirty-four million, four hundred forty-one thousand, three hundred".