331000013313289 has 2 divisors, whose sum is σ = 331000013313290. Its totient is φ = 331000013313288.

The previous prime is 331000013313257. The next prime is 331000013313311. The reversal of 331000013313289 is 982313310000133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214106983436025 + 116893029877264 = 14632395^2 + 10811708^2 .

It is a cyclic number.

It is not a de Polignac number, because 331000013313289 - 2⁵ = 331000013313257 is a prime.

It is a super-2 number, since 2×331000013313289² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331000013313989) 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, 165500006656644 + 165500006656645.

It is an arithmetic number, because the mean of its divisors is an integer number (165500006656645).

Almost surely, 2^{331000013313289} is an apocalyptic number.

It is an amenable number.

331000013313289 is a deficient number, since it is larger than the sum of its proper divisors (1).

331000013313289 is an equidigital number, since it uses as much as digits as its factorization.

331000013313289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 331000013313289 in words is "three hundred thirty-one trillion, thirteen million, three hundred thirteen thousand, two hundred eighty-nine".