1021003212013 has 2 divisors, whose sum is σ = 1021003212014. Its totient is φ = 1021003212012.

The previous prime is 1021003211999. The next prime is 1021003212029. The reversal of 1021003212013 is 3102123001201.

It is an a-pointer prime, because the next prime (1021003212029) can be obtained adding 1021003212013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 861356616649 + 159646595364 = 928093^2 + 399558^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021003212013 - 2⁵ = 1021003211981 is a prime.

It is a super-3 number, since 3×1021003212013³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021003212913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510501606006 + 510501606007.

It is an arithmetic number, because the mean of its divisors is an integer number (510501606007).

Almost surely, 2^{1021003212013} is an apocalyptic number.

It is an amenable number.

1021003212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021003212013 is an equidigital number, since it uses as much as digits as its factorization.

1021003212013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1021003212013 its reverse (3102123001201), we get a palindrome (4123126213214).

The spelling of 1021003212013 in words is "one trillion, twenty-one billion, three million, two hundred twelve thousand, thirteen".