331121203330249 has 2 divisors, whose sum is σ = 331121203330250. Its totient is φ = 331121203330248.

The previous prime is 331121203330219. The next prime is 331121203330271. The reversal of 331121203330249 is 942033302121133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330312450250000 + 808753080249 = 18174500^2 + 899307^2 .

It is a cyclic number.

It is not a de Polignac number, because 331121203330249 - 2⁷ = 331121203330121 is a prime.

It is not a weakly prime, because it can be changed into another prime (331121203330219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560601665124 + 165560601665125.

It is an arithmetic number, because the mean of its divisors is an integer number (165560601665125).

Almost surely, 2^{331121203330249} is an apocalyptic number.

It is an amenable number.

331121203330249 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121203330249 is an equidigital number, since it uses as much as digits as its factorization.

331121203330249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 331121203330249 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred three million, three hundred thirty thousand, two hundred forty-nine".