3013322312113 has 2 divisors, whose sum is σ = 3013322312114. Its totient is φ = 3013322312112.

The previous prime is 3013322312083. The next prime is 3013322312149. The reversal of 3013322312113 is 3112132233103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2401099004304 + 612223307809 = 1549548^2 + 782447^2 .

It is an emirp because it is prime and its reverse (3112132233103) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3013322312113 - 2¹⁷ = 3013322181041 is a prime.

It is a super-2 number, since 2×3013322312113² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3013322312813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506661156056 + 1506661156057.

It is an arithmetic number, because the mean of its divisors is an integer number (1506661156057).

Almost surely, 2^{3013322312113} is an apocalyptic number.

It is an amenable number.

3013322312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3013322312113 is an equidigital number, since it uses as much as digits as its factorization.

3013322312113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 3013322312113 its reverse (3112132233103), we get a palindrome (6125454545216).

The spelling of 3013322312113 in words is "three trillion, thirteen billion, three hundred twenty-two million, three hundred twelve thousand, one hundred thirteen".