103222103313 has 24 divisors (see below), whose sum is σ = 160118955360. Its totient is φ = 58976924160.

The previous prime is 103222103273. The next prime is 103222103359. The reversal of 103222103313 is 313301222301.

It is not a de Polignac number, because 103222103313 - 2¹⁰ = 103222102289 is a prime.

It is a super-2 number, since 2×103222103313² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 103222103313.

It is not an unprimeable number, because it can be changed into a prime (103226103313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1326478 + ... + 1402136.

It is an arithmetic number, because the mean of its divisors is an integer number (6671623140).

Almost surely, 2^103222103313 is an apocalyptic number.

It is an amenable number.

103222103313 is a deficient number, since it is larger than the sum of its proper divisors (56896852047).

103222103313 is an equidigital number, since it uses as much as digits as its factorization.

103222103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84957 (or 84950 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103222103313 its reverse (313301222301), we get a palindrome (416523325614).

The spelling of 103222103313 in words is "one hundred three billion, two hundred twenty-two million, one hundred three thousand, three hundred thirteen".