1021003213313 has 16 divisors (see below), whose sum is σ = 1096786944000. Its totient is φ = 947623577472.

The previous prime is 1021003213283. The next prime is 1021003213319. The reversal of 1021003213313 is 3133123001201.

It is a cyclic number.

It is not a de Polignac number, because 1021003213313 - 2¹⁸ = 1021002951169 is a prime.

It is a super-3 number, since 3×1021003213313³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021003213319) 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 in 15 ways as a sum of consecutive naturals, for example, 2585345 + ... + 2953982.

It is an arithmetic number, because the mean of its divisors is an integer number (68549184000).

Almost surely, 2^{1021003213313} is an apocalyptic number.

It is an amenable number.

1021003213313 is a deficient number, since it is larger than the sum of its proper divisors (75783730687).

1021003213313 is a wasteful number, since it uses less digits than its factorization.

1021003213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539544.

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

Adding to 1021003213313 its reverse (3133123001201), we get a palindrome (4154126214514).

The spelling of 1021003213313 in words is "one trillion, twenty-one billion, three million, two hundred thirteen thousand, three hundred thirteen".