232133012100000 has 432 divisors, whose sum is σ = 900117317867040. Its totient is φ = 56274667200000.

The previous prime is 232133012099993. The next prime is 232133012100047. The reversal of 232133012100000 is 1210331232.

232133012100000 is a `hidden beast` number, since 2 + 321 + 330 + 1 + 2 + 10 + 0 + 0 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1823890 + ... + 21623889.

It is an arithmetic number, because the mean of its divisors is an integer number (2083604902470).

Almost surely, 2^{232133012100000} is an apocalyptic number.

232133012100000 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 232133012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450058658933520).

232133012100000 is an abundant number, since it is smaller than the sum of its proper divisors (667984305767040).

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

232133012100000 is a wasteful number, since it uses less digits than its factorization.

232133012100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23447831 (or 23447800 counting only the distinct ones).

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

Adding to 232133012100000 its reverse (1210331232), we get a palindrome (232134222431232).

The spelling of 232133012100000 in words is "two hundred thirty-two trillion, one hundred thirty-three billion, twelve million, one hundred thousand".