3133123330013 has 2 divisors, whose sum is σ = 3133123330014. Its totient is φ = 3133123330012.

The previous prime is 3133123329997. The next prime is 3133123330019. The reversal of 3133123330013 is 3100333213313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2635304183044 + 497819146969 = 1623362^2 + 705563^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133123330013 - 2⁴ = 3133123329997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133123330019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566561665006 + 1566561665007.

It is an arithmetic number, because the mean of its divisors is an integer number (1566561665007).

Almost surely, 2^{3133123330013} is an apocalyptic number.

It is an amenable number.

3133123330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133123330013 is an equidigital number, since it uses as much as digits as its factorization.

3133123330013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 3133123330013 its reverse (3100333213313), we get a palindrome (6233456543326).

The spelling of 3133123330013 in words is "three trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred thirty thousand, thirteen".