3144100013 has 2 divisors, whose sum is σ = 3144100014. Its totient is φ = 3144100012.

The previous prime is 3144099979. The next prime is 3144100067. The reversal of 3144100013 is 3100014413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3092805769 + 51294244 = 55613^2 + 7162^2 .

It is a cyclic number.

It is not a de Polignac number, because 3144100013 - 2¹² = 3144095917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3144099964 and 3144100000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3144100213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1572050006 + 1572050007.

It is an arithmetic number, because the mean of its divisors is an integer number (1572050007).

Almost surely, 2^3144100013 is an apocalyptic number.

It is an amenable number.

3144100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3144100013 is an equidigital number, since it uses as much as digits as its factorization.

3144100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3144100013 is about 56072.2749048048. The cubic root of 3144100013 is about 1464.9814226503.

Adding to 3144100013 its reverse (3100014413), we get a palindrome (6244114426).

The spelling of 3144100013 in words is "three billion, one hundred forty-four million, one hundred thousand, thirteen".