3120400213 has 6 divisors (see below), whose sum is σ = 3629853366. Its totient is φ = 2674628712.

The previous prime is 3120400207. The next prime is 3120400247. The reversal of 3120400213 is 3120040213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2927134609 + 193265604 = 54103^2 + 13902^2 .

It is not a de Polignac number, because 3120400213 - 2⁵ = 3120400181 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 (3120400273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31840770 + ... + 31840867.

It is an arithmetic number, because the mean of its divisors is an integer number (604975561).

Almost surely, 2^3120400213 is an apocalyptic number.

It is an amenable number.

3120400213 is a deficient number, since it is larger than the sum of its proper divisors (509453153).

3120400213 is an equidigital number, since it uses as much as digits as its factorization.

3120400213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63681651 (or 63681644 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3120400213 is about 55860.5425412249. The cubic root of 3120400213 is about 1461.2911910652.

Adding to 3120400213 its reverse (3120040213), we get a palindrome (6240440426).

Subtracting from 3120400213 its reverse (3120040213), we obtain a square (360000 = 600²).

The spelling of 3120400213 in words is "three billion, one hundred twenty million, four hundred thousand, two hundred thirteen".