20330100300213 has 36 divisors (see below), whose sum is σ = 32759762634144. Its totient is φ = 12137373270000.

The previous prime is 20330100300199. The next prime is 20330100300217. The reversal of 20330100300213 is 31200300103302.

20330100300213 is a `hidden beast` number, since 2 + 0 + 330 + 10 + 0 + 300 + 21 + 3 = 666.

It is not a de Polignac number, because 20330100300213 - 2⁴⁰ = 19230588672437 is a prime.

It is a super-3 number, since 3×20330100300213³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330100300217) 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 35 ways as a sum of consecutive naturals, for example, 139244913 + ... + 139390838.

It is an arithmetic number, because the mean of its divisors is an integer number (909993406504).

Almost surely, 2^{20330100300213} is an apocalyptic number.

It is an amenable number.

20330100300213 is a deficient number, since it is larger than the sum of its proper divisors (12429662333931).

20330100300213 is a wasteful number, since it uses less digits than its factorization.

20330100300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278635846 (or 278635832 counting only the distinct ones).

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

Adding to 20330100300213 its reverse (31200300103302), we get a palindrome (51530400403515).

The spelling of 20330100300213 in words is "twenty trillion, three hundred thirty billion, one hundred million, three hundred thousand, two hundred thirteen".