123010003300313 has 2 divisors, whose sum is σ = 123010003300314. Its totient is φ = 123010003300312.

The previous prime is 123010003300297. The next prime is 123010003300351. The reversal of 123010003300313 is 313003300010321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90263832529984 + 32746170770329 = 9500728^2 + 5722427^2 .

It is a cyclic number.

It is not a de Polignac number, because 123010003300313 - 2⁴ = 123010003300297 is a prime.

It is not a weakly prime, because it can be changed into another prime (123010003300013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61505001650156 + 61505001650157.

It is an arithmetic number, because the mean of its divisors is an integer number (61505001650157).

Almost surely, 2^{123010003300313} is an apocalyptic number.

It is an amenable number.

123010003300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123010003300313 is an equidigital number, since it uses as much as digits as its factorization.

123010003300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 123010003300313 its reverse (313003300010321), we get a palindrome (436013303310634).

The spelling of 123010003300313 in words is "one hundred twenty-three trillion, ten billion, three million, three hundred thousand, three hundred thirteen".