233012132100 has 324 divisors, whose sum is σ = 803911033380. Its totient is φ = 56409408000.

The previous prime is 233012132081. The next prime is 233012132123. The reversal of 233012132100 is 1231210332.

233012132100 is a `hidden beast` number, since 2 + 330 + 12 + 1 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7635963456 + 225376168644 = 87384^2 + 474738^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 133837230 + ... + 133838970.

Almost surely, 2^233012132100 is an apocalyptic number.

233012132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233012132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401955516690).

233012132100 is an abundant number, since it is smaller than the sum of its proper divisors (570898901280).

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

233012132100 is a wasteful number, since it uses less digits than its factorization.

233012132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233012132100 its reverse (1231210332), we get a palindrome (234243342432).

The spelling of 233012132100 in words is "two hundred thirty-three billion, twelve million, one hundred thirty-two thousand, one hundred".