123130013330321 has 2 divisors, whose sum is σ = 123130013330322. Its totient is φ = 123130013330320.

The previous prime is 123130013330243. The next prime is 123130013330431. The reversal of 123130013330321 is 123033310031321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84541864462225 + 38588148868096 = 9194665^2 + 6211936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123130013330321 is a prime.

It is a super-5 number, since 5×123130013330321⁵ (a number of 72 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (123130013230321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61565006665160 + 61565006665161.

It is an arithmetic number, because the mean of its divisors is an integer number (61565006665161).

Almost surely, 2^{123130013330321} is an apocalyptic number.

It is an amenable number.

123130013330321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123130013330321 is an equidigital number, since it uses as much as digits as its factorization.

123130013330321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 123130013330321 its reverse (123033310031321), we get a palindrome (246163323361642).

The spelling of 123130013330321 in words is "one hundred twenty-three trillion, one hundred thirty billion, thirteen million, three hundred thirty thousand, three hundred twenty-one".