132021300333312 has 864 divisors, whose sum is σ = 440990098174080. Its totient is φ = 37622655221760.

The previous prime is 132021300333271. The next prime is 132021300333331. The reversal of 132021300333312 is 213333003120231.

132021300333312 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 13 + 0 + 0 + 333 + 312 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20859737764 + ... + 20859744092.

It is an arithmetic number, because the mean of its divisors is an integer number (510405206220).

Almost surely, 2^{132021300333312} is an apocalyptic number.

132021300333312 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 132021300333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220495049087040).

132021300333312 is an abundant number, since it is smaller than the sum of its proper divisors (308968797840768).

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

132021300333312 is a wasteful number, since it uses less digits than its factorization.

132021300333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132021300333312 its reverse (213333003120231), we get a palindrome (345354303453543).

The spelling of 132021300333312 in words is "one hundred thirty-two trillion, twenty-one billion, three hundred million, three hundred thirty-three thousand, three hundred twelve".