233134102125 has 64 divisors (see below), whose sum is σ = 431547367680. Its totient is φ = 124191561600.

The previous prime is 233134102099. The next prime is 233134102129. The reversal of 233134102125 is 521201431332.

233134102125 is a `hidden beast` number, since 2 + 3 + 31 + 3 + 410 + 212 + 5 = 666.

233134102125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233134102125 - 2⁵ = 233134102093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233134102129) 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 63 ways as a sum of consecutive naturals, for example, 2852074 + ... + 2932676.

It is an arithmetic number, because the mean of its divisors is an integer number (6742927620).

Almost surely, 2^233134102125 is an apocalyptic number.

233134102125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233134102125 is a deficient number, since it is larger than the sum of its proper divisors (198413265555).

233134102125 is an equidigital number, since it uses as much as digits as its factorization.

233134102125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81484 (or 81468 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 233134102125 its reverse (521201431332), we get a palindrome (754335533457).

The spelling of 233134102125 in words is "two hundred thirty-three billion, one hundred thirty-four million, one hundred two thousand, one hundred twenty-five".