13131331130321 has 2 divisors, whose sum is σ = 13131331130322. Its totient is φ = 13131331130320.

The previous prime is 13131331130299. The next prime is 13131331130369. The reversal of 13131331130321 is 12303113313131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11397619073296 + 1733712057025 = 3376036^2 + 1316705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13131331130321 is a prime.

It is a super-4 number, since 4×13131331130321⁴ (a number of 54 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (13131331130381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565665565160 + 6565665565161.

It is an arithmetic number, because the mean of its divisors is an integer number (6565665565161).

Almost surely, 2^{13131331130321} is an apocalyptic number.

It is an amenable number.

13131331130321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131331130321 is an equidigital number, since it uses as much as digits as its factorization.

13131331130321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 13131331130321 its reverse (12303113313131), we get a palindrome (25434444443452).

The spelling of 13131331130321 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirty-one million, one hundred thirty thousand, three hundred twenty-one".