13105405530350 has 96 divisors (see below), whose sum is σ = 29102369043456. Its totient is φ = 4293074016000.

The previous prime is 13105405530337. The next prime is 13105405530383. The reversal of 13105405530350 is 5303550450131.

It is a super-2 number, since 2×13105405530350² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13105405530350.

It is a congruent number.

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, 6222650 + ... + 8058050.

It is an arithmetic number, because the mean of its divisors is an integer number (303149677536).

Almost surely, 2^{13105405530350} is an apocalyptic number.

13105405530350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105405530350 is an abundant number, since it is smaller than the sum of its proper divisors (15996963513106).

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

13105405530350 is a wasteful number, since it uses less digits than its factorization.

13105405530350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836330 (or 1836325 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

Adding to 13105405530350 its reverse (5303550450131), we get a palindrome (18408955980481).

The spelling of 13105405530350 in words is "thirteen trillion, one hundred five billion, four hundred five million, five hundred thirty thousand, three hundred fifty".