100320013500 has 192 divisors, whose sum is σ = 334867513344. Its totient is φ = 22861440000.

The previous prime is 100320013499. The next prime is 100320013501. The reversal of 100320013500 is 5310023001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100320013499) and next prime (100320013501).

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 100320013500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320013501) 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, 3524325 + ... + 3552675.

It is an arithmetic number, because the mean of its divisors is an integer number (1744101632).

Almost surely, 2^100320013500 is an apocalyptic number.

100320013500 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 100320013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167433756672).

100320013500 is an abundant number, since it is smaller than the sum of its proper divisors (234547499844).

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

100320013500 is a wasteful number, since it uses less digits than its factorization.

100320013500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28717 (or 28705 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 100320013500 its reverse (5310023001), we get a palindrome (105630036501).

The spelling of 100320013500 in words is "one hundred billion, three hundred twenty million, thirteen thousand, five hundred".