100133332320330 has 128 divisors (see below), whose sum is σ = 271030895562240. Its totient is φ = 26302042690560.

The previous prime is 100133332320253. The next prime is 100133332320341. The reversal of 100133332320330 is 33023233331001.

100133332320330 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 3 + 3 + 3 + 2 + 320 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100133332320294 and 100133332320303.

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, 18563314 + ... + 23342306.

It is an arithmetic number, because the mean of its divisors is an integer number (2117428871580).

Almost surely, 2^{100133332320330} is an apocalyptic number.

100133332320330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100133332320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135515447781120).

100133332320330 is an abundant number, since it is smaller than the sum of its proper divisors (170897563241910).

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

100133332320330 is a wasteful number, since it uses less digits than its factorization.

100133332320330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780173 (or 4780167 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 100133332320330 its reverse (33023233331001), we get a palindrome (133156565651331).

The spelling of 100133332320330 in words is "one hundred trillion, one hundred thirty-three billion, three hundred thirty-two million, three hundred twenty thousand, three hundred thirty".