20813413303296 has 264 divisors, whose sum is σ = 60746449720320. Its totient is φ = 6863046967296.

The previous prime is 20813413303283. The next prime is 20813413303297. The reversal of 20813413303296 is 69230331431802.

20813413303296 is a `hidden beast` number, since 2 + 0 + 8 + 13 + 41 + 3 + 303 + 296 = 666.

It is not an unprimeable number, because it can be changed into a prime (20813413303297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2573683765 + ... + 2573691851.

Almost surely, 2^{20813413303296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20813413303296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30373224860160).

20813413303296 is an abundant number, since it is smaller than the sum of its proper divisors (39933036417024).

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

20813413303296 is a wasteful number, since it uses less digits than its factorization.

20813413303296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11089 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 20813413303296 in words is "twenty trillion, eight hundred thirteen billion, four hundred thirteen million, three hundred three thousand, two hundred ninety-six".