13105334331 has 28 divisors (see below), whose sum is σ = 20106014808. Its totient is φ = 8533685664.

The previous prime is 13105334317. The next prime is 13105334339. The reversal of 13105334331 is 13343350131.

13105334331 is a `hidden beast` number, since 1 + 310 + 5 + 3 + 343 + 3 + 1 = 666.

It is not a de Polignac number, because 13105334331 - 2⁵ = 13105334299 is a prime.

It is a super-2 number, since 2×13105334331² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13105334295 and 13105334304.

It is not an unprimeable number, because it can be changed into a prime (13105334339) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 177690 + ... + 240383.

Almost surely, 2^13105334331 is an apocalyptic number.

13105334331 is a deficient number, since it is larger than the sum of its proper divisors (7000680477).

13105334331 is an frugal number, since it uses more digits than its factorization.

13105334331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418134 (or 418119 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 13105334331 its reverse (13343350131), we get a palindrome (26448684462).

The spelling of 13105334331 in words is "thirteen billion, one hundred five million, three hundred thirty-four thousand, three hundred thirty-one".