133032101100000 has 576 divisors, whose sum is σ = 450886585411584. Its totient is φ = 34306272000000.

The previous prime is 133032101099993. The next prime is 133032101100029. The reversal of 133032101100000 is 1101230331.

133032101100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15503095710 + ... + 15503104290.

It is an arithmetic number, because the mean of its divisors is an integer number (782789210784).

Almost surely, 2^{133032101100000} is an apocalyptic number.

133032101100000 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 133032101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225443292705792).

133032101100000 is an abundant number, since it is smaller than the sum of its proper divisors (317854484311584).

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

133032101100000 is an equidigital number, since it uses as much as digits as its factorization.

133032101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10317 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133032101100000 its reverse (1101230331), we get a palindrome (133033202330331).

The spelling of 133032101100000 in words is "one hundred thirty-three trillion, thirty-two billion, one hundred one million, one hundred thousand".