3123333013 has 2 divisors, whose sum is σ = 3123333014. Its totient is φ = 3123333012.

The previous prime is 3123332977. The next prime is 3123333023. The reversal of 3123333013 is 3103333213.

3123333013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1743730564 + 1379602449 = 41758^2 + 37143^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123333013 - 2¹⁷ = 3123201941 is a prime.

It is a super-2 number, since 2×3123333013² = 19510418220191316338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3123333023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561666506 + 1561666507.

It is an arithmetic number, because the mean of its divisors is an integer number (1561666507).

Almost surely, 2^3123333013 is an apocalyptic number.

It is an amenable number.

3123333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123333013 is an equidigital number, since it uses as much as digits as its factorization.

3123333013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 22.

The square root of 3123333013 is about 55886.7874635857. The cubic root of 3123333013 is about 1461.7488602252.

Adding to 3123333013 its reverse (3103333213), we get a palindrome (6226666226).

It can be divided in two parts, 31233 and 33013, that added together give a palindrome (64246).

The spelling of 3123333013 in words is "three billion, one hundred twenty-three million, three hundred thirty-three thousand, thirteen".