331131133231033 has 2 divisors, whose sum is σ = 331131133231034. Its totient is φ = 331131133231032.

The previous prime is 331131133230983. The next prime is 331131133231051. The reversal of 331131133231033 is 330132331131133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331050856208809 + 80277022224 = 18194803^2 + 283332^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331131133231033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331131133230986 and 331131133231004.

It is not a weakly prime, because it can be changed into another prime (331131133231333) 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, 165565566615516 + 165565566615517.

It is an arithmetic number, because the mean of its divisors is an integer number (165565566615517).

Almost surely, 2^{331131133231033} is an apocalyptic number.

It is an amenable number.

331131133231033 is a deficient number, since it is larger than the sum of its proper divisors (1).

331131133231033 is an equidigital number, since it uses as much as digits as its factorization.

331131133231033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 31.

Adding to 331131133231033 its reverse (330132331131133), we get a palindrome (661263464362166).

The spelling of 331131133231033 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty-three million, two hundred thirty-one thousand, thirty-three".