1306123631321 has 2 divisors, whose sum is σ = 1306123631322. Its totient is φ = 1306123631320.

The previous prime is 1306123631311. The next prime is 1306123631357. The reversal of 1306123631321 is 1231363216031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1112181160000 + 193942471321 = 1054600^2 + 440389^2 .

It is a cyclic number.

It is not a de Polignac number, because 1306123631321 - 2¹⁴ = 1306123614937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1306123631311) 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, 653061815660 + 653061815661.

It is an arithmetic number, because the mean of its divisors is an integer number (653061815661).

Almost surely, 2^{1306123631321} is an apocalyptic number.

It is an amenable number.

1306123631321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306123631321 is an equidigital number, since it uses as much as digits as its factorization.

1306123631321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

Adding to 1306123631321 its reverse (1231363216031), we get a palindrome (2537486847352).

The spelling of 1306123631321 in words is "one trillion, three hundred six billion, one hundred twenty-three million, six hundred thirty-one thousand, three hundred twenty-one".