3123212133313 has 2 divisors, whose sum is σ = 3123212133314. Its totient is φ = 3123212133312.

The previous prime is 3123212133247. The next prime is 3123212133323. The reversal of 3123212133313 is 3133312123213.

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., 2980484582464 + 142727550849 = 1726408^2 + 377793^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123212133313 - 2²¹ = 3123210036161 is a prime.

It is not a weakly prime, because it can be changed into another prime (3123212133323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561606066656 + 1561606066657.

It is an arithmetic number, because the mean of its divisors is an integer number (1561606066657).

Almost surely, 2^{3123212133313} is an apocalyptic number.

It is an amenable number.

3123212133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123212133313 is an equidigital number, since it uses as much as digits as its factorization.

3123212133313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 28.

Adding to 3123212133313 its reverse (3133312123213), we get a palindrome (6256524256526).

The spelling of 3123212133313 in words is "three trillion, one hundred twenty-three billion, two hundred twelve million, one hundred thirty-three thousand, three hundred thirteen".