3121144993 has 2 divisors, whose sum is σ = 3121144994. Its totient is φ = 3121144992.

The previous prime is 3121144987. The next prime is 3121145033. The reversal of 3121144993 is 3994411213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2651426064 + 469718929 = 51492^2 + 21673^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121144993 - 2¹³ = 3121136801 is a prime.

It is a super-3 number, since 3×3121144993³ (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3121144963) 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, 1560572496 + 1560572497.

It is an arithmetic number, because the mean of its divisors is an integer number (1560572497).

Almost surely, 2^3121144993 is an apocalyptic number.

It is an amenable number.

3121144993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121144993 is an equidigital number, since it uses as much as digits as its factorization.

3121144993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 37.

The square root of 3121144993 is about 55867.2085663853. The cubic root of 3121144993 is about 1461.4074425930.

The spelling of 3121144993 in words is "three billion, one hundred twenty-one million, one hundred forty-four thousand, nine hundred ninety-three".