100133002000320 has 448 divisors, whose sum is σ = 337141877968896. Its totient is φ = 25135336488960.

The previous prime is 100133002000319. The next prime is 100133002000321. The reversal of 100133002000320 is 23000200331001.

It is an interprime number because it is at equal distance from previous prime (100133002000319) and next prime (100133002000321).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100133002000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133002000321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4731502059 + ... + 4731523221.

It is an arithmetic number, because the mean of its divisors is an integer number (752548834752).

Almost surely, 2^{100133002000320} is an apocalyptic number.

100133002000320 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 100133002000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168570938984448).

100133002000320 is an abundant number, since it is smaller than the sum of its proper divisors (237008875968576).

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

100133002000320 is a wasteful number, since it uses less digits than its factorization.

100133002000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25548 (or 25538 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100133002000320 its reverse (23000200331001), we get a palindrome (123133202331321).

The spelling of 100133002000320 in words is "one hundred trillion, one hundred thirty-three billion, two million, three hundred twenty", and thus it is an aban number.