20413324130100 has 324 divisors, whose sum is σ = 65570319960096. Its totient is φ = 4899598880000.

The previous prime is 20413324130083. The next prime is 20413324130153. The reversal of 20413324130100 is 103142331402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 370268737 + ... + 370323863.

Almost surely, 2^{20413324130100} is an apocalyptic number.

20413324130100 is a gapful number since it is divisible by the number (20) 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 20413324130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32785159980048).

20413324130100 is an abundant number, since it is smaller than the sum of its proper divisors (45156995829996).

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

20413324130100 is a wasteful number, since it uses less digits than its factorization.

20413324130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55368 (or 55249 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20413324130100 its reverse (103142331402), we get a palindrome (20516466461502).

The spelling of 20413324130100 in words is "twenty trillion, four hundred thirteen billion, three hundred twenty-four million, one hundred thirty thousand, one hundred".