10002031313321 has 2 divisors, whose sum is σ = 10002031313322. Its totient is φ = 10002031313320.

The previous prime is 10002031313279. The next prime is 10002031313327. The reversal of 10002031313321 is 12331313020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9928801000000 + 73230313321 = 3151000^2 + 270611^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002031313321 - 2⁶ = 10002031313257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002031313293 and 10002031313302.

It is not a weakly prime, because it can be changed into another prime (10002031313327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001015656660 + 5001015656661.

It is an arithmetic number, because the mean of its divisors is an integer number (5001015656661).

Almost surely, 2^{10002031313321} is an apocalyptic number.

It is an amenable number.

10002031313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002031313321 is an equidigital number, since it uses as much as digits as its factorization.

10002031313321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10002031313321 its reverse (12331313020001), we get a palindrome (22333344333322).

The spelling of 10002031313321 in words is "ten trillion, two billion, thirty-one million, three hundred thirteen thousand, three hundred twenty-one".