331132123122233 has 2 divisors, whose sum is σ = 331132123122234. Its totient is φ = 331132123122232.

The previous prime is 331132123122221. The next prime is 331132123122347. The reversal of 331132123122233 is 332221321231133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260928034773289 + 70204088348944 = 16153267^2 + 8378788^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331132123122233 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 331132123122233.

It is not a weakly prime, because it can be changed into another prime (331132123122833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566061561116 + 165566061561117.

It is an arithmetic number, because the mean of its divisors is an integer number (165566061561117).

Almost surely, 2^{331132123122233} is an apocalyptic number.

It is an amenable number.

331132123122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

331132123122233 is an equidigital number, since it uses as much as digits as its factorization.

331132123122233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 32.

Adding to 331132123122233 its reverse (332221321231133), we get a palindrome (663353444353366).

The spelling of 331132123122233 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred thirty-three".