220300133013 has 18 divisors (see below), whose sum is σ = 327044067714. Its totient is φ = 142897375584.

The previous prime is 220300132963. The next prime is 220300133033. The reversal of 220300133013 is 310331003022.

220300133013 is a `hidden beast` number, since 2 + 20 + 300 + 1 + 330 + 13 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 68354533809 + 151945599204 = 261447^2 + 389802^2 .

It is not a de Polignac number, because 220300133013 - 2¹⁴ = 220300116629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220300133033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8927706 + ... + 8952347.

It is an arithmetic number, because the mean of its divisors is an integer number (18169114873).

Almost surely, 2^220300133013 is an apocalyptic number.

It is an amenable number.

220300133013 is a deficient number, since it is larger than the sum of its proper divisors (106743934701).

220300133013 is a wasteful number, since it uses less digits than its factorization.

220300133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17880133 (or 17880093 counting only the distinct ones).

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

Adding to 220300133013 its reverse (310331003022), we get a palindrome (530631136035).

The spelling of 220300133013 in words is "two hundred twenty billion, three hundred million, one hundred thirty-three thousand, thirteen".