13305006531 has 24 divisors (see below), whose sum is σ = 20375475120. Its totient is φ = 8337309696.

The previous prime is 13305006523. The next prime is 13305006587. The reversal of 13305006531 is 13560050331.

13305006531 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 0 + 0 + 653 + 1 = 666.

It is not a de Polignac number, because 13305006531 - 2³ = 13305006523 is a prime.

It is a super-2 number, since 2×13305006531² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13305006495 and 13305006504.

It is not an unprimeable number, because it can be changed into a prime (13305006511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61116 + ... + 174198.

It is an arithmetic number, because the mean of its divisors is an integer number (848978130).

Almost surely, 2^13305006531 is an apocalyptic number.

13305006531 is a deficient number, since it is larger than the sum of its proper divisors (7070468589).

13305006531 is a wasteful number, since it uses less digits than its factorization.

13305006531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113875 (or 113872 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 13305006531 its reverse (13560050331), we get a palindrome (26865056862).

The spelling of 13305006531 in words is "thirteen billion, three hundred five million, six thousand, five hundred thirty-one".