3120220220213 has 16 divisors (see below), whose sum is σ = 3243868830000. Its totient is φ = 2997667233792.

The previous prime is 3120220220179. The next prime is 3120220220219.

It is a happy number.

3120220220213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 277162237444 + 2843057982769 = 526462^2 + 1686137^2 .

It is not a de Polignac number, because 3120220220213 - 2²² = 3120216025909 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 (3120220220219) 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, 6698513 + ... + 7149161.

It is an arithmetic number, because the mean of its divisors is an integer number (202741801875).

Almost surely, 2^{3120220220213} is an apocalyptic number.

It is an amenable number.

3120220220213 is a deficient number, since it is larger than the sum of its proper divisors (123648609787).

3120220220213 is a wasteful number, since it uses less digits than its factorization.

3120220220213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451864.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 3120220 and 220213, that added together give a palindrome (3340433).

The spelling of 3120220220213 in words is "three trillion, one hundred twenty billion, two hundred twenty million, two hundred twenty thousand, two hundred thirteen".