13105405530312 has 128 divisors (see below), whose sum is σ = 34025584464000. Its totient is φ = 4201379481600.

The previous prime is 13105405530311. The next prime is 13105405530313. The reversal of 13105405530312 is 21303550450131.

It is an interprime number because it is at equal distance from previous prime (13105405530311) and next prime (13105405530313).

It is a super-2 number, since 2×13105405530312² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13105405530311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612362812 + ... + 612384212.

It is an arithmetic number, because the mean of its divisors is an integer number (265824878625).

Almost surely, 2^{13105405530312} is an apocalyptic number.

13105405530312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105405530312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012792232000).

13105405530312 is an abundant number, since it is smaller than the sum of its proper divisors (20920178933688).

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

13105405530312 is a wasteful number, since it uses less digits than its factorization.

13105405530312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24831 (or 24827 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 13105405530312 its reverse (21303550450131), we get a palindrome (34408955980443).

The spelling of 13105405530312 in words is "thirteen trillion, one hundred five billion, four hundred five million, five hundred thirty thousand, three hundred twelve".