1003222135305 has 96 divisors (see below), whose sum is σ = 1964217475584. Its totient is φ = 470320639488.

The previous prime is 1003222135291. The next prime is 1003222135313. The reversal of 1003222135305 is 5035312223001.

It is a happy number.

1003222135305 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 222 + 135 + 305 = 666.

It is not a de Polignac number, because 1003222135305 - 2¹⁶ = 1003222069769 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 524242 + ... + 1510388.

It is an arithmetic number, because the mean of its divisors is an integer number (20460598704).

Almost surely, 2^{1003222135305} is an apocalyptic number.

1003222135305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1003222135305 is a deficient number, since it is larger than the sum of its proper divisors (960995340279).

1003222135305 is a wasteful number, since it uses less digits than its factorization.

1003222135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986255 (or 986252 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 1003222135305 its reverse (5035312223001), we get a palindrome (6038534358306).

The spelling of 1003222135305 in words is "one trillion, three billion, two hundred twenty-two million, one hundred thirty-five thousand, three hundred five".