100003201320300 has 144 divisors (see below), whose sum is σ = 294922973534112. Its totient is φ = 26153613158400.

The previous prime is 100003201320299. The next prime is 100003201320313. The reversal of 100003201320300 is 3023102300001.

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 100003201320300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37457880 + ... + 40038720.

It is an arithmetic number, because the mean of its divisors is an integer number (2048076205098).

Almost surely, 2^{100003201320300} is an apocalyptic number.

100003201320300 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 100003201320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147461486767056).

100003201320300 is an abundant number, since it is smaller than the sum of its proper divisors (194919772213812).

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

100003201320300 is a wasteful number, since it uses less digits than its factorization.

100003201320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583348 (or 2583341 counting only the distinct ones).

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

Adding to 100003201320300 its reverse (3023102300001), we get a palindrome (103026303620301).

The spelling of 100003201320300 in words is "one hundred trillion, three billion, two hundred one million, three hundred twenty thousand, three hundred".