1002091821613 has 2 divisors, whose sum is σ = 1002091821614. Its totient is φ = 1002091821612.

The previous prime is 1002091821593. The next prime is 1002091821617. The reversal of 1002091821613 is 3161281902001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 925209286884 + 76882534729 = 961878^2 + 277277^2 .

It is an emirp because it is prime and its reverse (3161281902001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002091821613 - 2¹⁷ = 1002091690541 is a prime.

It is a super-2 number, since 2×1002091821613² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002091821617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501045910806 + 501045910807.

It is an arithmetic number, because the mean of its divisors is an integer number (501045910807).

Almost surely, 2^{1002091821613} is an apocalyptic number.

It is an amenable number.

1002091821613 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002091821613 is an equidigital number, since it uses as much as digits as its factorization.

1002091821613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 1002091821613 in words is "one trillion, two billion, ninety-one million, eight hundred twenty-one thousand, six hundred thirteen".