331166666661133 has 2 divisors, whose sum is σ = 331166666661134. Its totient is φ = 331166666661132.

The previous prime is 331166666661031. The next prime is 331166666661139.

331166666661133 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330145883786889 + 1020782874244 = 18169917^2 + 1010338^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331166666661133 is a prime.

It is a super-2 number, since 2×331166666661133² (a number of 30 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331166666661139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165583333330566 + 165583333330567.

It is an arithmetic number, because the mean of its divisors is an integer number (165583333330567).

Almost surely, 2^{331166666661133} is an apocalyptic number.

It is an amenable number.

331166666661133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331166666661133 is an equidigital number, since it uses as much as digits as its factorization.

331166666661133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22674816, while the sum is 58.

The spelling of 331166666661133 in words is "three hundred thirty-one trillion, one hundred sixty-six billion, six hundred sixty-six million, six hundred sixty-one thousand, one hundred thirty-three".