331133333331133 has 2 divisors, whose sum is σ = 331133333331134. Its totient is φ = 331133333331132.

The previous prime is 331133333331113. The next prime is 331133333331149.

It is a happy number.

331133333331133 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., 331054640738649 + 78692592484 = 18194907^2 + 280522^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331133333331133 is a prime.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 331133333331092 and 331133333331101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331133333331113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566666665566 + 165566666665567.

It is an arithmetic number, because the mean of its divisors is an integer number (165566666665567).

Almost surely, 2^{331133333331133} is an apocalyptic number.

It is an amenable number.

331133333331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331133333331133 is an equidigital number, since it uses as much as digits as its factorization.

331133333331133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 177147, while the sum is 37.

The spelling of 331133333331133 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-one thousand, one hundred thirty-three".