331013123123273 has 2 divisors, whose sum is σ = 331013123123274. Its totient is φ = 331013123123272.

The previous prime is 331013123123141. The next prime is 331013123123299. The reversal of 331013123123273 is 372321321310133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329634816599104 + 1378306524169 = 18155848^2 + 1174013^2 .

It is a cyclic number.

It is not a de Polignac number, because 331013123123273 - 2¹⁴ = 331013123106889 is a prime.

It is not a weakly prime, because it can be changed into another prime (331013123123873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165506561561636 + 165506561561637.

It is an arithmetic number, because the mean of its divisors is an integer number (165506561561637).

Almost surely, 2^{331013123123273} is an apocalyptic number.

It is an amenable number.

331013123123273 is a deficient number, since it is larger than the sum of its proper divisors (1).

331013123123273 is an equidigital number, since it uses as much as digits as its factorization.

331013123123273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 35.

The spelling of 331013123123273 in words is "three hundred thirty-one trillion, thirteen billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred seventy-three".