3112000013 has 2 divisors, whose sum is σ = 3112000014. Its totient is φ = 3112000012.

The previous prime is 3111999941. The next prime is 3112000043. The reversal of 3112000013 is 3100002113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2909307844 + 202692169 = 53938^2 + 14237^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112000013 - 2¹⁴ = 3111983629 is a prime.

It is a super-3 number, since 3×3112000013³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3111999958 and 3112000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3112000043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556000006 + 1556000007.

It is an arithmetic number, because the mean of its divisors is an integer number (1556000007).

Almost surely, 2^3112000013 is an apocalyptic number.

It is an amenable number.

3112000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3112000013 is an equidigital number, since it uses as much as digits as its factorization.

3112000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 3112000013 is about 55785.3028404436. The cubic root of 3112000013 is about 1459.9787344435.

Adding to 3112000013 its reverse (3100002113), we get a palindrome (6212002126).

The spelling of 3112000013 in words is "three billion, one hundred twelve million, thirteen", and thus it is an aban number.