132101233200000 has 576 divisors, whose sum is σ = 487980483812640. Its totient is φ = 34274880000000.

The previous prime is 132101233199983. The next prime is 132101233200017. The reversal of 132101233200000 is 2332101231.

132101233200000 is a `hidden beast` number, since 1 + 321 + 0 + 1 + 23 + 320 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132101233199983) and next prime (132101233200017).

It is a tau number, because it is divible by the number of its divisors (576).

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132704125 + ... + 133695875.

Almost surely, 2^{132101233200000} is an apocalyptic number.

132101233200000 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 132101233200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243990241906320).

132101233200000 is an abundant number, since it is smaller than the sum of its proper divisors (355879250612640).

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

132101233200000 is an frugal number, since it uses more digits than its factorization.

132101233200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991833 (or 991798 counting only the distinct ones).

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

Adding to 132101233200000 its reverse (2332101231), we get a palindrome (132103565301231).

The spelling of 132101233200000 in words is "one hundred thirty-two trillion, one hundred one billion, two hundred thirty-three million, two hundred thousand".