1321001023313 has 2 divisors, whose sum is σ = 1321001023314. Its totient is φ = 1321001023312.

The previous prime is 1321001023253. The next prime is 1321001023361. The reversal of 1321001023313 is 3133201001231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 703758243409 + 617242779904 = 838903^2 + 785648^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321001023313 - 2²⁶ = 1320933914449 is a prime.

It is not a weakly prime, because it can be changed into another prime (1321001023373) 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, 660500511656 + 660500511657.

It is an arithmetic number, because the mean of its divisors is an integer number (660500511657).

Almost surely, 2^{1321001023313} is an apocalyptic number.

It is an amenable number.

1321001023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321001023313 is an equidigital number, since it uses as much as digits as its factorization.

1321001023313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1321001023313 its reverse (3133201001231), we get a palindrome (4454202024544).

The spelling of 1321001023313 in words is "one trillion, three hundred twenty-one billion, one million, twenty-three thousand, three hundred thirteen".