330101431031089 has 2 divisors, whose sum is σ = 330101431031090. Its totient is φ = 330101431031088.

The previous prime is 330101431031039. The next prime is 330101431031129. The reversal of 330101431031089 is 980130134101033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175310707845025 + 154790723186064 = 13240495^2 + 12441492^2 .

It is a cyclic number.

It is not a de Polignac number, because 330101431031089 - 2⁷ = 330101431030961 is a prime.

It is not a weakly prime, because it can be changed into another prime (330101431031039) 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, 165050715515544 + 165050715515545.

It is an arithmetic number, because the mean of its divisors is an integer number (165050715515545).

Almost surely, 2^{330101431031089} is an apocalyptic number.

It is an amenable number.

330101431031089 is a deficient number, since it is larger than the sum of its proper divisors (1).

330101431031089 is an equidigital number, since it uses as much as digits as its factorization.

330101431031089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 330101431031089 in words is "three hundred thirty trillion, one hundred one billion, four hundred thirty-one million, thirty-one thousand, eighty-nine".