13105405530300 has 72 divisors (see below), whose sum is σ = 37919436222976. Its totient is φ = 3494670701760.

The previous prime is 13105405530247. The next prime is 13105405530311. The reversal of 13105405530300 is 303550450131.

It is a super-2 number, since 2×13105405530300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9711477 + ... + 10978323.

Almost surely, 2^{13105405530300} is an apocalyptic number.

13105405530300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105405530300 is an abundant number, since it is smaller than the sum of its proper divisors (24814030692676).

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

13105405530300 is a wasteful number, since it uses less digits than its factorization.

13105405530300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301347 (or 1301340 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 13105405530300 its reverse (303550450131), we get a palindrome (13408955980431).

The spelling of 13105405530300 in words is "thirteen trillion, one hundred five billion, four hundred five million, five hundred thirty thousand, three hundred".