3112221100013 has 16 divisors (see below), whose sum is σ = 3332336538240. Its totient is φ = 2897812843200.

The previous prime is 3112221100003. The next prime is 3112221100039. The reversal of 3112221100013 is 3100011222113.

It is a cyclic number.

It is not a de Polignac number, because 3112221100013 - 2¹⁶ = 3112221034477 is a prime.

It is a super-2 number, since 2×3112221100013² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3112221099964 and 3112221100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112221100003) 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, 428648 + ... + 2531438.

It is an arithmetic number, because the mean of its divisors is an integer number (208271033640).

Almost surely, 2^{3112221100013} is an apocalyptic number.

It is an amenable number.

3112221100013 is a deficient number, since it is larger than the sum of its proper divisors (220115438227).

3112221100013 is a wasteful number, since it uses less digits than its factorization.

3112221100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104148.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 3112221100013 its reverse (3100011222113), we get a palindrome (6212232322126).

The spelling of 3112221100013 in words is "three trillion, one hundred twelve billion, two hundred twenty-one million, one hundred thousand, thirteen".