100100133132000 has 384 divisors, whose sum is σ = 329142615879168. Its totient is φ = 26594620416000.

The previous prime is 100100133131969. The next prime is 100100133132029. The reversal of 100100133132000 is 231331001001.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5997243655 + ... + 5997260345.

It is an arithmetic number, because the mean of its divisors is an integer number (857142228852).

Almost surely, 2^{100100133132000} is an apocalyptic number.

100100133132000 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 100100133132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164571307939584).

100100133132000 is an abundant number, since it is smaller than the sum of its proper divisors (229042482747168).

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

100100133132000 is a wasteful number, since it uses less digits than its factorization.

100100133132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18539 (or 18521 counting only the distinct ones).

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

Adding to 100100133132000 its reverse (231331001001), we get a palindrome (100331464133001).

The spelling of 100100133132000 in words is "one hundred trillion, one hundred billion, one hundred thirty-three million, one hundred thirty-two thousand".