3120330213 has 216 divisors, whose sum is σ = 6539105664. Its totient is φ = 1392526080.

The previous prime is 3120330211. The next prime is 3120330251.

3120330213 is a `hidden beast` number, since 3 + 120 + 330 + 213 = 666.

3120330213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3120330213 - 2¹ = 3120330211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120330211) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 84333231 + ... + 84333267.

Almost surely, 2^3120330213 is an apocalyptic number.

3120330213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3120330213 is an abundant number, since it is smaller than the sum of its proper divisors (3418775451).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3120330213 is a wasteful number, since it uses less digits than its factorization.

3120330213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 94 counting only the distinct ones).

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

The square root of 3120330213 is about 55859.9159773804. The cubic root of 3120330213 is about 1461.2802639254.

It can be divided in two parts, 31203 and 30213, that added together give a palindrome (61416).

The spelling of 3120330213 in words is "three billion, one hundred twenty million, three hundred thirty thousand, two hundred thirteen".