31313122013321 has 2 divisors, whose sum is σ = 31313122013322. Its totient is φ = 31313122013320.

The previous prime is 31313122013309. The next prime is 31313122013339. The reversal of 31313122013321 is 12331022131313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20902406767225 + 10410715246096 = 4571915^2 + 3226564^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31313122013321 is a prime.

It is a super-3 number, since 3×31313122013321³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (31313122013021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656561006660 + 15656561006661.

It is an arithmetic number, because the mean of its divisors is an integer number (15656561006661).

Almost surely, 2^{31313122013321} is an apocalyptic number.

It is an amenable number.

31313122013321 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313122013321 is an equidigital number, since it uses as much as digits as its factorization.

31313122013321 is an evil number, because the sum of its binary digits is even.

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

Adding to 31313122013321 its reverse (12331022131313), we get a palindrome (43644144144634).

The spelling of 31313122013321 in words is "thirty-one trillion, three hundred thirteen billion, one hundred twenty-two million, thirteen thousand, three hundred twenty-one".