331031214412321 has 2 divisors, whose sum is σ = 331031214412322. Its totient is φ = 331031214412320.

The previous prime is 331031214412319. The next prime is 331031214412337. The reversal of 331031214412321 is 123214412130133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260382146322321 + 70649068090000 = 16136361^2 + 8405300^2 .

It is an emirp because it is prime and its reverse (123214412130133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331031214412321 - 2¹ = 331031214412319 is a prime.

Together with 331031214412319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (331031214412721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165515607206160 + 165515607206161.

It is an arithmetic number, because the mean of its divisors is an integer number (165515607206161).

Almost surely, 2^{331031214412321} is an apocalyptic number.

It is an amenable number.

331031214412321 is a deficient number, since it is larger than the sum of its proper divisors (1).

331031214412321 is an equidigital number, since it uses as much as digits as its factorization.

331031214412321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 331031214412321 its reverse (123214412130133), we get a palindrome (454245626542454).

The spelling of 331031214412321 in words is "three hundred thirty-one trillion, thirty-one billion, two hundred fourteen million, four hundred twelve thousand, three hundred twenty-one".