321013331121013 has 2 divisors, whose sum is σ = 321013331121014. Its totient is φ = 321013331121012.

The previous prime is 321013331120987. The next prime is 321013331121089. The reversal of 321013331121013 is 310121133310123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175972906568484 + 145040424552529 = 13265478^2 + 12043273^2 .

It is a cyclic number.

It is not a de Polignac number, because 321013331121013 - 2⁴¹ = 318814307865461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321013331131013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160506665560506 + 160506665560507.

It is an arithmetic number, because the mean of its divisors is an integer number (160506665560507).

Almost surely, 2^{321013331121013} is an apocalyptic number.

It is an amenable number.

321013331121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

321013331121013 is an equidigital number, since it uses as much as digits as its factorization.

321013331121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 321013331121013 its reverse (310121133310123), we get a palindrome (631134464431136).

The spelling of 321013331121013 in words is "three hundred twenty-one trillion, thirteen billion, three hundred thirty-one million, one hundred twenty-one thousand, thirteen".