13123012313 has 2 divisors, whose sum is σ = 13123012314. Its totient is φ = 13123012312.

The previous prime is 13123012237. The next prime is 13123012337. The reversal of 13123012313 is 31321032131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12645677209 + 477335104 = 112453^2 + 21848^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123012313 - 2¹⁶ = 13122946777 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123012373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561506156 + 6561506157.

It is an arithmetic number, because the mean of its divisors is an integer number (6561506157).

Almost surely, 2^13123012313 is an apocalyptic number.

It is an amenable number.

13123012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123012313 is an equidigital number, since it uses as much as digits as its factorization.

13123012313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13123012313 its reverse (31321032131), we get a palindrome (44444044444).

The spelling of 13123012313 in words is "thirteen billion, one hundred twenty-three million, twelve thousand, three hundred thirteen".