233232000132100 has 36 divisors (see below), whose sum is σ = 506162252782900. Its totient is φ = 93283802357760.

The previous prime is 233232000132071. The next prime is 233232000132101. The reversal of 233232000132100 is 1231000232332.

It can be written as a sum of positive squares in 6 ways, for example, as 16089613126596 + 217142387005504 = 4011186^2 + 14735752^2 .

It is not an unprimeable number, because it can be changed into a prime (233232000132101) 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 11 ways as a sum of consecutive naturals, for example, 111429105 + ... + 113502904.

Almost surely, 2^{233232000132100} is an apocalyptic number.

233232000132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233232000132100 is an abundant number, since it is smaller than the sum of its proper divisors (272930252650800).

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

233232000132100 is a wasteful number, since it uses less digits than its factorization.

233232000132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224942392 (or 224942385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233232000132100 its reverse (1231000232332), we get a palindrome (234463000364432).

The spelling of 233232000132100 in words is "two hundred thirty-three trillion, two hundred thirty-two billion, one hundred thirty-two thousand, one hundred".