13105004436 has 72 divisors (see below), whose sum is σ = 33315740640. Its totient is φ = 4343462976.

The previous prime is 13105004401. The next prime is 13105004447. The reversal of 13105004436 is 63440050131.

It is a super-2 number, since 2×13105004436² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5328175 + ... + 5330633.

It is an arithmetic number, because the mean of its divisors is an integer number (462718620).

Almost surely, 2^13105004436 is an apocalyptic number.

It is an amenable number.

13105004436 is an abundant number, since it is smaller than the sum of its proper divisors (20210736204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13105004436 is a wasteful number, since it uses less digits than its factorization.

13105004436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13105004436 its reverse (63440050131), we get a palindrome (76545054567).

The spelling of 13105004436 in words is "thirteen billion, one hundred five million, four thousand, four hundred thirty-six".