100133002000304 has 120 divisors (see below), whose sum is σ = 252727019792640. Its totient is φ = 37528157931264.

The previous prime is 100133002000271. The next prime is 100133002000309. The reversal of 100133002000304 is 403000200331001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100133002000309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 138856292 + ... + 139575555.

It is an arithmetic number, because the mean of its divisors is an integer number (2106058498272).

Almost surely, 2^{100133002000304} is an apocalyptic number.

100133002000304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100133002000304 is an abundant number, since it is smaller than the sum of its proper divisors (152594017792336).

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

100133002000304 is a wasteful number, since it uses less digits than its factorization.

100133002000304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278431907 (or 278431888 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100133002000304 its reverse (403000200331001), we get a palindrome (503133202331305).

The spelling of 100133002000304 in words is "one hundred trillion, one hundred thirty-three billion, two million, three hundred four", and thus it is an aban number.