13105145130 has 128 divisors (see below), whose sum is σ = 41520107520. Its totient is φ = 2562954240.

The previous prime is 13105145093. The next prime is 13105145149. The reversal of 13105145130 is 3154150131.

It is a super-3 number, since 3×13105145130³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13105145130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127590 + ... + 206129.

It is an arithmetic number, because the mean of its divisors is an integer number (324375840).

Almost surely, 2^13105145130 is an apocalyptic number.

13105145130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105145130 is an abundant number, since it is smaller than the sum of its proper divisors (28414962390).

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

13105145130 is a wasteful number, since it uses less digits than its factorization.

13105145130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333764.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 13105145130 its reverse (3154150131), we get a palindrome (16259295261).

The spelling of 13105145130 in words is "thirteen billion, one hundred five million, one hundred forty-five thousand, one hundred thirty".