100133101332000 has 2592 divisors, whose sum is σ = 423644780914992. Its totient is φ = 22362531840000.

The previous prime is 100133101331957. The next prime is 100133101332031. The reversal of 100133101332000 is 233101331001.

It is a happy number.

100133101332000 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 331 + 0 + 1 + 332 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25742269331856 + 74390832000144 = 5073684^2 + 8625012^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 58183091140 + ... + 58183092860.

Almost surely, 2^{100133101332000} is an apocalyptic number.

100133101332000 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 100133101332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211822390457496).

100133101332000 is an abundant number, since it is smaller than the sum of its proper divisors (323511679582992).

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

100133101332000 is a wasteful number, since it uses less digits than its factorization.

100133101332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100133101332000 its reverse (233101331001), we get a palindrome (100366202663001).

Subtracting from 100133101332000 its reverse (233101331001), we obtain a palindrome (99900000000999).

The spelling of 100133101332000 in words is "one hundred trillion, one hundred thirty-three billion, one hundred one million, three hundred thirty-two thousand".