13122303045435 has 32 divisors (see below), whose sum is σ = 23344616655360. Its totient is φ = 6993738252000.

The previous prime is 13122303045301. The next prime is 13122303045443. The reversal of 13122303045435 is 53454030322131.

13122303045435 is a `hidden beast` number, since 1 + 3 + 122 + 30 + 30 + 45 + 435 = 666.

It is not a de Polignac number, because 13122303045435 - 2¹¹ = 13122303043387 is a prime.

It is a super-3 number, since 3×13122303045435³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13122303045435.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33299031 + ... + 33690800.

It is an arithmetic number, because the mean of its divisors is an integer number (729519270480).

Almost surely, 2^{13122303045435} is an apocalyptic number.

13122303045435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13122303045435 is a deficient number, since it is larger than the sum of its proper divisors (10222313609925).

13122303045435 is a wasteful number, since it uses less digits than its factorization.

13122303045435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66991296 (or 66991290 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 13122303045435 its reverse (53454030322131), we get a palindrome (66576333367566).

The spelling of 13122303045435 in words is "thirteen trillion, one hundred twenty-two billion, three hundred three million, forty-five thousand, four hundred thirty-five".