1002213101313 has 6 divisors (see below), whose sum is σ = 1447641146354. Its totient is φ = 668142067536.

The previous prime is 1002213101287. The next prime is 1002213101347. The reversal of 1002213101313 is 3131013122001.

1002213101313 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 310 + 131 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 776252626704 + 225960474609 = 881052^2 + 475353^2 .

It is not a de Polignac number, because 1002213101313 - 2¹⁰ = 1002213100289 is a prime.

It is a super-2 number, since 2×1002213101313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002213108313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55678505620 + ... + 55678505637.

Almost surely, 2^{1002213101313} is an apocalyptic number.

It is an amenable number.

1002213101313 is a deficient number, since it is larger than the sum of its proper divisors (445428045041).

1002213101313 is a wasteful number, since it uses less digits than its factorization.

1002213101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111357011263 (or 111357011260 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1002213101313 its reverse (3131013122001), we get a palindrome (4133226223314).

The spelling of 1002213101313 in words is "one trillion, two billion, two hundred thirteen million, one hundred one thousand, three hundred thirteen".