133210211232 has 192 divisors, whose sum is σ = 405141295104. Its totient is φ = 37536844800.

The previous prime is 133210211219. The next prime is 133210211237. The reversal of 133210211232 is 232112012331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133210211199 and 133210211208.

It is not an unprimeable number, because it can be changed into a prime (133210211237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39097273 + ... + 39100679.

It is an arithmetic number, because the mean of its divisors is an integer number (2110110912).

Almost surely, 2^133210211232 is an apocalyptic number.

133210211232 is a gapful number since it is divisible by the number (12) 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 133210211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202570647552).

133210211232 is an abundant number, since it is smaller than the sum of its proper divisors (271931083872).

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

133210211232 is a wasteful number, since it uses less digits than its factorization.

133210211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133210211232 its reverse (232112012331), we get a palindrome (365322223563).

The spelling of 133210211232 in words is "one hundred thirty-three billion, two hundred ten million, two hundred eleven thousand, two hundred thirty-two".