331333130113121 has 2 divisors, whose sum is σ = 331333130113122. Its totient is φ = 331333130113120.

The previous prime is 331333130113103. The next prime is 331333130113171. The reversal of 331333130113121 is 121311031333133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292079584592896 + 39253545520225 = 17090336^2 + 6265265^2 .

It is a cyclic number.

It is not a de Polignac number, because 331333130113121 - 2¹⁴ = 331333130096737 is a prime.

It is a super-2 number, since 2×331333130113121² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331333130113171) 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, 165666565056560 + 165666565056561.

It is an arithmetic number, because the mean of its divisors is an integer number (165666565056561).

Almost surely, 2^{331333130113121} is an apocalyptic number.

It is an amenable number.

331333130113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

331333130113121 is an equidigital number, since it uses as much as digits as its factorization.

331333130113121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 29.

Adding to 331333130113121 its reverse (121311031333133), we get a palindrome (452644161446254).

The spelling of 331333130113121 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, one hundred thirty million, one hundred thirteen thousand, one hundred twenty-one".