100013200334400 has 336 divisors, whose sum is σ = 329381913833280. Its totient is φ = 26568209203200.

The previous prime is 100013200334387. The next prime is 100013200334407. The reversal of 100013200334400 is 4433002310001.

It is a super-2 number, since 2×100013200334400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100013200334407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6823571872 + ... + 6823586528.

It is an arithmetic number, because the mean of its divisors is an integer number (980303314980).

Almost surely, 2^{100013200334400} is an apocalyptic number.

100013200334400 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 100013200334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164690956916640).

100013200334400 is an abundant number, since it is smaller than the sum of its proper divisors (229368713498880).

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

100013200334400 is a wasteful number, since it uses less digits than its factorization.

100013200334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100013200334400 its reverse (4433002310001), we get a palindrome (104446202644401).

The spelling of 100013200334400 in words is "one hundred trillion, thirteen billion, two hundred million, three hundred thirty-four thousand, four hundred".