331224141422133 has 6 divisors (see below), whose sum is σ = 478434870943094. Its totient is φ = 220816094281416.

The previous prime is 331224141422123. The next prime is 331224141422143.

331224141422133 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 2 + 414 + 14 + 221 + 3 + 3 = 666.

331224141422133 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (331224141422123) and next prime (331224141422143).

It can be written as a sum of positive squares in only one way, i.e., 243018854039844 + 88205287382289 = 15589062^2 + 9391767^2 .

It is not a de Polignac number, because 331224141422133 - 2¹⁶ = 331224141356597 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 (331224141422123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18401341190110 + ... + 18401341190127.

Almost surely, 2^{331224141422133} is an apocalyptic number.

It is an amenable number.

331224141422133 is a deficient number, since it is larger than the sum of its proper divisors (147210729520961).

331224141422133 is a wasteful number, since it uses less digits than its factorization.

331224141422133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36802682380243 (or 36802682380240 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 331224141422133 in words is "three hundred thirty-one trillion, two hundred twenty-four billion, one hundred forty-one million, four hundred twenty-two thousand, one hundred thirty-three".