13124414010320 has 20 divisors (see below), whose sum is σ = 30514262574180. Its totient is φ = 5249765604096.

The previous prime is 13124414010313. The next prime is 13124414010427. The reversal of 13124414010320 is 2301041442131.

It can be written as a sum of positive squares in 2 ways, for example, as 7619609412496 + 5504804597824 = 2760364^2 + 2346232^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×13124414010320² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13124414010320.

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 3 ways as a sum of consecutive naturals, for example, 82027587485 + ... + 82027587644.

It is an arithmetic number, because the mean of its divisors is an integer number (1525713128709).

Almost surely, 2^{13124414010320} is an apocalyptic number.

13124414010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124414010320 is an abundant number, since it is smaller than the sum of its proper divisors (17389848563860).

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

13124414010320 is a wasteful number, since it uses less digits than its factorization.

13124414010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164055175142 (or 164055175136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13124414010320 its reverse (2301041442131), we get a palindrome (15425455452451).

The spelling of 13124414010320 in words is "thirteen trillion, one hundred twenty-four billion, four hundred fourteen million, ten thousand, three hundred twenty".