3120310100213 has 32 divisors (see below), whose sum is σ = 3370738655232. Its totient is φ = 2880011534400.

The previous prime is 3120310100209. The next prime is 3120310100293. The reversal of 3120310100213 is 3120010130213.

3120310100213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3120310100213 - 2² = 3120310100209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3120310100191 and 3120310100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120310100293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968737943 + ... + 968741163.

It is an arithmetic number, because the mean of its divisors is an integer number (105335582976).

Almost surely, 2^{3120310100213} is an apocalyptic number.

It is an amenable number.

3120310100213 is a deficient number, since it is larger than the sum of its proper divisors (250428555019).

3120310100213 is a wasteful number, since it uses less digits than its factorization.

3120310100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3120310100213 its reverse (3120010130213), we get a palindrome (6240320230426).

The spelling of 3120310100213 in words is "three trillion, one hundred twenty billion, three hundred ten million, one hundred thousand, two hundred thirteen".