13123312212313 has 2 divisors, whose sum is σ = 13123312212314. Its totient is φ = 13123312212312.

The previous prime is 13123312212293. The next prime is 13123312212359. The reversal of 13123312212313 is 31321221332131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13014683962569 + 108628249744 = 3607587^2 + 329588^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123312212313 - 2⁵ = 13123312212281 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123312210313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561656106156 + 6561656106157.

It is an arithmetic number, because the mean of its divisors is an integer number (6561656106157).

Almost surely, 2^{13123312212313} is an apocalyptic number.

It is an amenable number.

13123312212313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123312212313 is an equidigital number, since it uses as much as digits as its factorization.

13123312212313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

Adding to 13123312212313 its reverse (31321221332131), we get a palindrome (44444533544444).

The spelling of 13123312212313 in words is "thirteen trillion, one hundred twenty-three billion, three hundred twelve million, two hundred twelve thousand, three hundred thirteen".