100000133332000 has 384 divisors, whose sum is σ = 279800706931200. Its totient is φ = 34768949248000.

The previous prime is 100000133331991. The next prime is 100000133332013. The reversal of 100000133332000 is 233331000001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2761729896 + ... + 2761766104.

It is an arithmetic number, because the mean of its divisors is an integer number (728647674300).

Almost surely, 2^{100000133332000} is an apocalyptic number.

100000133332000 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 100000133332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139900353465600).

100000133332000 is an abundant number, since it is smaller than the sum of its proper divisors (179800573599200).

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

100000133332000 is a wasteful number, since it uses less digits than its factorization.

100000133332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38997 (or 38979 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100000133332000 its reverse (233331000001), we get a palindrome (100233464332001).

The spelling of 100000133332000 in words is "one hundred trillion, one hundred thirty-three million, three hundred thirty-two thousand".