13122230330305 has 48 divisors (see below), whose sum is σ = 17473982374800. Its totient is φ = 9444911454720.

The previous prime is 13122230330263. The next prime is 13122230330309. The reversal of 13122230330305 is 50303303222131.

13122230330305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3838917681 + 13118391412624 = 61959^2 + 3621932^2 .

It is not a de Polignac number, because 13122230330305 - 2²⁵ = 13122196775873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13122230330309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1138231 + ... + 5247859.

It is an arithmetic number, because the mean of its divisors is an integer number (364041299475).

Almost surely, 2^{13122230330305} is an apocalyptic number.

It is an amenable number.

13122230330305 is a deficient number, since it is larger than the sum of its proper divisors (4351752044495).

13122230330305 is a wasteful number, since it uses less digits than its factorization.

13122230330305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109762 (or 4109743 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 13122230330305 its reverse (50303303222131), we get a palindrome (63425533552436).

The spelling of 13122230330305 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirty million, three hundred thirty thousand, three hundred five".