100133301330 has 256 divisors, whose sum is σ = 276269460480. Its totient is φ = 25798348800.

The previous prime is 100133301329. The next prime is 100133301337. The reversal of 100133301330 is 33103331001.

100133301330 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 330 + 1 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100133301337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 321971875 + ... + 321972185.

It is an arithmetic number, because the mean of its divisors is an integer number (1079177580).

Almost surely, 2^100133301330 is an apocalyptic number.

100133301330 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 100133301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138134730240).

100133301330 is an abundant number, since it is smaller than the sum of its proper divisors (176136159150).

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

100133301330 is a wasteful number, since it uses less digits than its factorization.

100133301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 100133301330 its reverse (33103331001), we get a palindrome (133236632331).

The spelling of 100133301330 in words is "one hundred billion, one hundred thirty-three million, three hundred one thousand, three hundred thirty".