3121331213321 has 2 divisors, whose sum is σ = 3121331213322. Its totient is φ = 3121331213320.

The previous prime is 3121331213309. The next prime is 3121331213369. The reversal of 3121331213321 is 1233121331213.

3121331213321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3059298337225 + 62032876096 = 1749085^2 + 249064^2 .

It is an emirp because it is prime and its reverse (1233121331213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3121331213321 - 2²⁶ = 3121264104457 is a prime.

It is not a weakly prime, because it can be changed into another prime (3121331213621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560665606660 + 1560665606661.

It is an arithmetic number, because the mean of its divisors is an integer number (1560665606661).

Almost surely, 2^{3121331213321} is an apocalyptic number.

It is an amenable number.

3121331213321 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121331213321 is an equidigital number, since it uses as much as digits as its factorization.

3121331213321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

Adding to 3121331213321 its reverse (1233121331213), we get a palindrome (4354452544534).

The spelling of 3121331213321 in words is "three trillion, one hundred twenty-one billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty-one".