12013100220321 has 24 divisors (see below), whose sum is σ = 17895182918184. Its totient is φ = 7759948055040.

The previous prime is 12013100220197. The next prime is 12013100220367. The reversal of 12013100220321 is 12302200131021.

12013100220321 is a `hidden beast` number, since 1 + 20 + 1 + 3 + 100 + 220 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9308509470225 + 2704590750096 = 3050985^2 + 1644564^2 .

It is not a de Polignac number, because 12013100220321 - 2³⁴ = 11995920351137 is a prime.

It is a super-3 number, since 3×12013100220321³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12013100220294 and 12013100220303.

It is not an unprimeable number, because it can be changed into a prime (12013100220421) 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, 74764926 + ... + 74925431.

It is an arithmetic number, because the mean of its divisors is an integer number (745632621591).

Almost surely, 2^{12013100220321} is an apocalyptic number.

It is an amenable number.

12013100220321 is a deficient number, since it is larger than the sum of its proper divisors (5882082697863).

12013100220321 is a wasteful number, since it uses less digits than its factorization.

12013100220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149690641 (or 149690638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12013100220321 its reverse (12302200131021), we get a palindrome (24315300351342).

The spelling of 12013100220321 in words is "twelve trillion, thirteen billion, one hundred million, two hundred twenty thousand, three hundred twenty-one".