13133422305 has 48 divisors (see below), whose sum is σ = 23164923600. Its totient is φ = 6881587200.

The previous prime is 13133422297. The next prime is 13133422319. The reversal of 13133422305 is 50322433131.

13133422305 is a `hidden beast` number, since 1 + 3 + 1 + 334 + 22 + 305 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 622552401 + 12510869904 = 24951^2 + 111852^2 .

It is not a de Polignac number, because 13133422305 - 2³ = 13133422297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2877225 + ... + 2881785.

It is an arithmetic number, because the mean of its divisors is an integer number (482602575).

Almost surely, 2^13133422305 is an apocalyptic number.

13133422305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13133422305 is a deficient number, since it is larger than the sum of its proper divisors (10031501295).

13133422305 is a wasteful number, since it uses less digits than its factorization.

13133422305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13133422305 its reverse (50322433131), we get a palindrome (63455855436).

The spelling of 13133422305 in words is "thirteen billion, one hundred thirty-three million, four hundred twenty-two thousand, three hundred five".