3120104010213 has 12 divisors (see below), whose sum is σ = 4551438854508. Its totient is φ = 2059474593600.

The previous prime is 3120104010193. The next prime is 3120104010217.

3120104010213 is a `hidden beast` number, since 31 + 20 + 1 + 0 + 401 + 0 + 213 = 666.

3120104010213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3025032304644 + 95071705569 = 1739262^2 + 308337^2 .

It is not a de Polignac number, because 3120104010213 - 2¹⁰ = 3120104009189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120104010217) 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 11 ways as a sum of consecutive naturals, for example, 1716227920 + ... + 1716229737.

It is an arithmetic number, because the mean of its divisors is an integer number (379286571209).

Almost surely, 2^{3120104010213} is an apocalyptic number.

It is an amenable number.

3120104010213 is a deficient number, since it is larger than the sum of its proper divisors (1431334844295).

3120104010213 is a wasteful number, since it uses less digits than its factorization.

3120104010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432457764 (or 3432457761 counting only the distinct ones).

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

The spelling of 3120104010213 in words is "three trillion, one hundred twenty billion, one hundred four million, ten thousand, two hundred thirteen".