1021000000313 has 2 divisors, whose sum is σ = 1021000000314. Its totient is φ = 1021000000312.

The previous prime is 1021000000291. The next prime is 1021000000351. The reversal of 1021000000313 is 3130000001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 613532258089 + 407467742224 = 783283^2 + 638332^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021000000313 - 2¹⁴ = 1020999983929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021000000294 and 1021000000303.

It is not a weakly prime, because it can be changed into another prime (1021000000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510500000156 + 510500000157.

It is an arithmetic number, because the mean of its divisors is an integer number (510500000157).

Almost surely, 2^{1021000000313} is an apocalyptic number.

It is an amenable number.

1021000000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021000000313 is an equidigital number, since it uses as much as digits as its factorization.

1021000000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1021000000313 its reverse (3130000001201), we get a palindrome (4151000001514).

The spelling of 1021000000313 in words is "one trillion, twenty-one billion, three hundred thirteen", and thus it is an aban number.