100013323020000 has 480 divisors, whose sum is σ = 353522851200288. Its totient is φ = 24603091968000.

The previous prime is 100013323019879. The next prime is 100013323020019. The reversal of 100013323020000 is 20323310001.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1258100254 + ... + 1258179746.

Almost surely, 2^{100013323020000} is an apocalyptic number.

100013323020000 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 100013323020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176761425600144).

100013323020000 is an abundant number, since it is smaller than the sum of its proper divisors (253509528180288).

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

100013323020000 is a wasteful number, since it uses less digits than its factorization.

100013323020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81152 (or 81129 counting only the distinct ones).

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

Adding to 100013323020000 its reverse (20323310001), we get a palindrome (100033646330001).

The spelling of 100013323020000 in words is "one hundred trillion, thirteen billion, three hundred twenty-three million, twenty thousand".