1002130313321 has 2 divisors, whose sum is σ = 1002130313322. Its totient is φ = 1002130313320.

The previous prime is 1002130313311. The next prime is 1002130313323. The reversal of 1002130313321 is 1233130312001.

1002130313321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 752445214096 + 249685099225 = 867436^2 + 499685^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002130313321 - 2¹⁰ = 1002130312297 is a prime.

Together with 1002130313323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002130313293 and 1002130313302.

It is not a weakly prime, because it can be changed into another prime (1002130313323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501065156660 + 501065156661.

It is an arithmetic number, because the mean of its divisors is an integer number (501065156661).

Almost surely, 2^{1002130313321} is an apocalyptic number.

It is an amenable number.

1002130313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002130313321 is an equidigital number, since it uses as much as digits as its factorization.

1002130313321 is an evil number, because the sum of its binary digits is even.

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

Adding to 1002130313321 its reverse (1233130312001), we get a palindrome (2235260625322).

The spelling of 1002130313321 in words is "one trillion, two billion, one hundred thirty million, three hundred thirteen thousand, three hundred twenty-one".