331333113033133 has 2 divisors, whose sum is σ = 331333113033134. Its totient is φ = 331333113033132.

The previous prime is 331333113033031. The next prime is 331333113033157. The reversal of 331333113033133 is 331330311333133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330669966654889 + 663146378244 = 18184333^2 + 814338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331333113033133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331333113031133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165666556516566 + 165666556516567.

It is an arithmetic number, because the mean of its divisors is an integer number (165666556516567).

Almost surely, 2^{331333113033133} is an apocalyptic number.

It is an amenable number.

331333113033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

331333113033133 is an equidigital number, since it uses as much as digits as its factorization.

331333113033133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59049, while the sum is 34.

Adding to 331333113033133 its reverse (331330311333133), we get a palindrome (662663424366266).

The spelling of 331333113033133 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, one hundred thirteen million, thirty-three thousand, one hundred thirty-three".