13107758179320 has 512 divisors, whose sum is σ = 50116497868800. Its totient is φ = 2985144938496.

The previous prime is 13107758179301. The next prime is 13107758179331. The reversal of 13107758179320 is 2397185770131.

13107758179320 is a `hidden beast` number, since 1 + 3 + 107 + 75 + 81 + 79 + 320 = 666.

It is a super-2 number, since 2×13107758179320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4587943332 + ... + 4587946188.

It is an arithmetic number, because the mean of its divisors is an integer number (97883784900).

Almost surely, 2^{13107758179320} is an apocalyptic number.

13107758179320 is a gapful number since it is divisible by the number (10) 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 13107758179320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25058248934400).

13107758179320 is an abundant number, since it is smaller than the sum of its proper divisors (37008739689480).

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

13107758179320 is a wasteful number, since it uses less digits than its factorization.

13107758179320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 13107758179320 in words is "thirteen trillion, one hundred seven billion, seven hundred fifty-eight million, one hundred seventy-nine thousand, three hundred twenty".