103020221313 has 6 divisors (see below), whose sum is σ = 148806986354. Its totient is φ = 68680147536.

The previous prime is 103020221261. The next prime is 103020221321. The reversal of 103020221313 is 313122020301.

It can be written as a sum of positive squares in only one way, i.e., 68464385649 + 34555835664 = 261657^2 + 185892^2 .

It is not a de Polignac number, because 103020221313 - 2³⁰ = 101946479489 is a prime.

It is a super-3 number, since 3×103020221313³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103020221393) 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 in 5 ways as a sum of consecutive naturals, for example, 5723345620 + ... + 5723345637.

Almost surely, 2^103020221313 is an apocalyptic number.

It is an amenable number.

103020221313 is a deficient number, since it is larger than the sum of its proper divisors (45786765041).

103020221313 is a wasteful number, since it uses less digits than its factorization.

103020221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446691263 (or 11446691260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103020221313 its reverse (313122020301), we get a palindrome (416142241614).

The spelling of 103020221313 in words is "one hundred three billion, twenty million, two hundred twenty-one thousand, three hundred thirteen".