331331112213289 has 2 divisors, whose sum is σ = 331331112213290. Its totient is φ = 331331112213288.

The previous prime is 331331112213263. The next prime is 331331112213383. The reversal of 331331112213289 is 982312211133133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231938188053289 + 99392924160000 = 15229517^2 + 9969600^2 .

It is a cyclic number.

It is not a de Polignac number, because 331331112213289 - 2²³ = 331331103824681 is a prime.

It is not a weakly prime, because it can be changed into another prime (331331112213239) 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, 165665556106644 + 165665556106645.

It is an arithmetic number, because the mean of its divisors is an integer number (165665556106645).

Almost surely, 2^{331331112213289} is an apocalyptic number.

It is an amenable number.

331331112213289 is a deficient number, since it is larger than the sum of its proper divisors (1).

331331112213289 is an equidigital number, since it uses as much as digits as its factorization.

331331112213289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 43.

The spelling of 331331112213289 in words is "three hundred thirty-one trillion, three hundred thirty-one billion, one hundred twelve million, two hundred thirteen thousand, two hundred eighty-nine".