232133320211000 has 256 divisors, whose sum is σ = 628865572608000. Its totient is φ = 79472014963200.

The previous prime is 232133320210997. The next prime is 232133320211003. The reversal of 232133320211000 is 112023331232.

232133320211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232133320210997) and next prime (232133320211003).

It is a super-2 number, since 2×232133320211000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232133320211003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611011 + ... + 21606989.

It is an arithmetic number, because the mean of its divisors is an integer number (2456506143000).

Almost surely, 2^{232133320211000} is an apocalyptic number.

232133320211000 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 232133320211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314432786304000).

232133320211000 is an abundant number, since it is smaller than the sum of its proper divisors (396732252397000).

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

232133320211000 is a wasteful number, since it uses less digits than its factorization.

232133320211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19996079 (or 19996065 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 232133320211000 its reverse (112023331232), we get a palindrome (232245343542232).

The spelling of 232133320211000 in words is "two hundred thirty-two trillion, one hundred thirty-three billion, three hundred twenty million, two hundred eleven thousand".