321013002131113 has 2 divisors, whose sum is σ = 321013002131114. Its totient is φ = 321013002131112.

The previous prime is 321013002131099. The next prime is 321013002131119. The reversal of 321013002131113 is 311131200310123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243823634211609 + 77189367919504 = 15614853^2 + 8785748^2 .

It is an emirp because it is prime and its reverse (311131200310123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321013002131113 - 2¹³ = 321013002122921 is a prime.

It is not a weakly prime, because it can be changed into another prime (321013002131119) 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, 160506501065556 + 160506501065557.

It is an arithmetic number, because the mean of its divisors is an integer number (160506501065557).

Almost surely, 2^{321013002131113} is an apocalyptic number.

It is an amenable number.

321013002131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

321013002131113 is an equidigital number, since it uses as much as digits as its factorization.

321013002131113 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 22.

Adding to 321013002131113 its reverse (311131200310123), we get a palindrome (632144202441236).

The spelling of 321013002131113 in words is "three hundred twenty-one trillion, thirteen billion, two million, one hundred thirty-one thousand, one hundred thirteen".