132101132002000 has 320 divisors, whose sum is σ = 384833432655360. Its totient is φ = 42844598784000.

The previous prime is 132101132001983. The next prime is 132101132002031. The reversal of 132101132002000 is 200231101231.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 63 ways as a sum of consecutive naturals, for example, 179715220 + ... + 180448780.

It is an arithmetic number, because the mean of its divisors is an integer number (1202604477048).

Almost surely, 2^{132101132002000} is an apocalyptic number.

132101132002000 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 132101132002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192416716327680).

132101132002000 is an abundant number, since it is smaller than the sum of its proper divisors (252732300653360).

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

132101132002000 is a wasteful number, since it uses less digits than its factorization.

132101132002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734287 (or 734271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132101132002000 its reverse (200231101231), we get a palindrome (132301363103231).

The spelling of 132101132002000 in words is "one hundred thirty-two trillion, one hundred one billion, one hundred thirty-two million, two thousand".