1021310013313 has 2 divisors, whose sum is σ = 1021310013314. Its totient is φ = 1021310013312.

The previous prime is 1021310013293. The next prime is 1021310013389. The reversal of 1021310013313 is 3133100131201.

1021310013313 is digitally balanced in base 2, 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., 1000514066049 + 20795947264 = 1000257^2 + 144208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1021310013313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021310016313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510655006656 + 510655006657.

It is an arithmetic number, because the mean of its divisors is an integer number (510655006657).

Almost surely, 2^{1021310013313} is an apocalyptic number.

It is an amenable number.

1021310013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021310013313 is an equidigital number, since it uses as much as digits as its factorization.

1021310013313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1021310013313 its reverse (3133100131201), we get a palindrome (4154410144514).

The spelling of 1021310013313 in words is "one trillion, twenty-one billion, three hundred ten million, thirteen thousand, three hundred thirteen".