123002013313 has 2 divisors, whose sum is σ = 123002013314. Its totient is φ = 123002013312.

The previous prime is 123002013293. The next prime is 123002013317. The reversal of 123002013313 is 313310200321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72687934449 + 50314078864 = 269607^2 + 224308^2 .

It is an emirp because it is prime and its reverse (313310200321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123002013313 - 2²⁵ = 122968458881 is a prime.

It is not a weakly prime, because it can be changed into another prime (123002013317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61501006656 + 61501006657.

It is an arithmetic number, because the mean of its divisors is an integer number (61501006657).

Almost surely, 2^123002013313 is an apocalyptic number.

It is an amenable number.

123002013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123002013313 is an equidigital number, since it uses as much as digits as its factorization.

123002013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 123002013313 its reverse (313310200321), we get a palindrome (436312213634).

The spelling of 123002013313 in words is "one hundred twenty-three billion, two million, thirteen thousand, three hundred thirteen".