20300100332013 has 48 divisors (see below), whose sum is σ = 29853244461040. Its totient is φ = 13289146675200.

The previous prime is 20300100332011. The next prime is 20300100332021. The reversal of 20300100332013 is 31023300100302.

20300100332013 is a `hidden beast` number, since 20 + 300 + 1 + 0 + 0 + 332 + 0 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11904337449 + 20288195994564 = 109107^2 + 4504242^2 .

It is not a de Polignac number, because 20300100332013 - 2¹ = 20300100332011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300100332011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818771145 + ... + 818795937.

Almost surely, 2^{20300100332013} is an apocalyptic number.

It is an amenable number.

20300100332013 is a deficient number, since it is larger than the sum of its proper divisors (9553144129027).

20300100332013 is a wasteful number, since it uses less digits than its factorization.

20300100332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27310 (or 27307 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20300100332013 its reverse (31023300100302), we get a palindrome (51323400432315).

The spelling of 20300100332013 in words is "twenty trillion, three hundred billion, one hundred million, three hundred thirty-two thousand, thirteen".