3120221201213 has 16 divisors (see below), whose sum is σ = 3224958659376. Its totient is φ = 3017477629440.

The previous prime is 3120221201189. The next prime is 3120221201221. The reversal of 3120221201213 is 3121021220213.

It can be written as a sum of positive squares in 8 ways, for example, as 455109445924 + 2665111755289 = 674618^2 + 1632517^2 .

It is a cyclic number.

It is not a de Polignac number, because 3120221201213 - 2²⁴ = 3120204423997 is a prime.

It is a super-3 number, since 3×3120221201213³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120221221213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306395 + ... + 2516807.

It is an arithmetic number, because the mean of its divisors is an integer number (201559916211).

Almost surely, 2^{3120221201213} is an apocalyptic number.

It is an amenable number.

3120221201213 is a deficient number, since it is larger than the sum of its proper divisors (104737458163).

3120221201213 is a wasteful number, since it uses less digits than its factorization.

3120221201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210864.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3120221201213 its reverse (3121021220213), we get a palindrome (6241242421426).

The spelling of 3120221201213 in words is "three trillion, one hundred twenty billion, two hundred twenty-one million, two hundred one thousand, two hundred thirteen".