3111013 has 2 divisors, whose sum is σ = 3111014. Its totient is φ = 3111012.

The previous prime is 3111001. The next prime is 3111023. The reversal of 3111013 is 3101113.

It is an a-pointer prime, because the next prime (3111023) can be obtained adding 3111013 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3090564 + 20449 = 1758^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 3111013 - 2⁵ = 3110981 is a prime.

3111013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3111023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1555506 + 1555507.

It is an arithmetic number, because the mean of its divisors is an integer number (1555507).

Almost surely, 2^3111013 is an apocalyptic number.

It is an amenable number.

3111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3111013 is an equidigital number, since it uses as much as digits as its factorization.

3111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 3111013 is about 1763.8063952713. The cubic root of 3111013 is about 145.9824367439.

Adding to 3111013 its reverse (3101113), we get a palindrome (6212126).

The spelling of 3111013 in words is "three million, one hundred eleven thousand, thirteen".