1321131330313 has 2 divisors, whose sum is σ = 1321131330314. Its totient is φ = 1321131330312.

The previous prime is 1321131330307. The next prime is 1321131330341. The reversal of 1321131330313 is 3130331311231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 883209003264 + 437922327049 = 939792^2 + 661757^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1321131330313 is a prime.

It is a super-2 number, since 2×1321131330313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1321131330913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 660565665156 + 660565665157.

It is an arithmetic number, because the mean of its divisors is an integer number (660565665157).

Almost surely, 2^{1321131330313} is an apocalyptic number.

It is an amenable number.

1321131330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321131330313 is an equidigital number, since it uses as much as digits as its factorization.

1321131330313 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 25.

Adding to 1321131330313 its reverse (3130331311231), we get a palindrome (4451462641544).

The spelling of 1321131330313 in words is "one trillion, three hundred twenty-one billion, one hundred thirty-one million, three hundred thirty thousand, three hundred thirteen".