132033213000000 has 1568 divisors, whose sum is σ = 524392162694400. Its totient is φ = 32383411200000.

The previous prime is 132033212999969. The next prime is 132033213000061. The reversal of 132033213000000 is 312330231.

132033213000000 is a `hidden beast` number, since 1 + 32 + 0 + 332 + 1 + 300 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 136538999517 + ... + 136539000483.

Almost surely, 2^{132033213000000} is an apocalyptic number.

132033213000000 is a gapful number since it is divisible by the number (10) 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 132033213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262196081347200).

132033213000000 is an abundant number, since it is smaller than the sum of its proper divisors (392358949694400).

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

132033213000000 is an frugal number, since it uses more digits than its factorization.

132033213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132033213000000 its reverse (312330231), we get a palindrome (132033525330231).

The spelling of 132033213000000 in words is "one hundred thirty-two trillion, thirty-three billion, two hundred thirteen million", and thus it is an aban number.