331331141133133 has 6 divisors (see below), whose sum is σ = 333454972562826. Its totient is φ = 329220751674672.

The previous prime is 331331141133089. The next prime is 331331141133163.

It is a happy number.

331331141133133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 5696231875684 + 325634909257449 = 2386678^2 + 18045357^2 .

It is not a de Polignac number, because 331331141133133 - 2²⁵ = 331331107578701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331331141133163) 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 in 5 ways as a sum of consecutive naturals, for example, 6720960810 + ... + 6721010107.

It is an arithmetic number, because the mean of its divisors is an integer number (55575828760471).

Almost surely, 2^{331331141133133} is an apocalyptic number.

It is an amenable number.

331331141133133 is a deficient number, since it is larger than the sum of its proper divisors (2123831429693).

331331141133133 is an equidigital number, since it uses as much as digits as its factorization.

331331141133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441971231 (or 13441971074 counting only the distinct ones).

The product of its digits is 26244, while the sum is 34.

The spelling of 331331141133133 in words is "three hundred thirty-one trillion, three hundred thirty-one billion, one hundred forty-one million, one hundred thirty-three thousand, one hundred thirty-three".