333112313100013 has 2 divisors, whose sum is σ = 333112313100014. Its totient is φ = 333112313100012.

The previous prime is 333112313100011. The next prime is 333112313100079. The reversal of 333112313100013 is 310001313211333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189047457799209 + 144064855300804 = 13749453^2 + 12002702^2 .

It is a cyclic number.

It is not a de Polignac number, because 333112313100013 - 2¹ = 333112313100011 is a prime.

It is a super-2 number, since 2×333112313100013² (a number of 30 digits) contains 22 as substring.

Together with 333112313100011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333112313100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166556156550006 + 166556156550007.

It is an arithmetic number, because the mean of its divisors is an integer number (166556156550007).

Almost surely, 2^{333112313100013} is an apocalyptic number.

It is an amenable number.

333112313100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

333112313100013 is an equidigital number, since it uses as much as digits as its factorization.

333112313100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 333112313100013 its reverse (310001313211333), we get a palindrome (643113626311346).

The spelling of 333112313100013 in words is "three hundred thirty-three trillion, one hundred twelve billion, three hundred thirteen million, one hundred thousand, thirteen".