3126305293313 has 2 divisors, whose sum is σ = 3126305293314. Its totient is φ = 3126305293312.

The previous prime is 3126305293301. The next prime is 3126305293343. The reversal of 3126305293313 is 3133925036213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3018447567424 + 107857725889 = 1737368^2 + 328417^2 .

It is a cyclic number.

It is not a de Polignac number, because 3126305293313 - 2¹⁴ = 3126305276929 is a prime.

It is not a weakly prime, because it can be changed into another prime (3126305293343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1563152646656 + 1563152646657.

It is an arithmetic number, because the mean of its divisors is an integer number (1563152646657).

Almost surely, 2^{3126305293313} is an apocalyptic number.

It is an amenable number.

3126305293313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3126305293313 is an equidigital number, since it uses as much as digits as its factorization.

3126305293313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262440, while the sum is 41.

The spelling of 3126305293313 in words is "three trillion, one hundred twenty-six billion, three hundred five million, two hundred ninety-three thousand, three hundred thirteen".