13082110286400 has 1323 divisors, whose sum is σ = 51530754643009. Its totient is φ = 3266686402560.

The previous prime is 13082110286369. The next prime is 13082110286419. The reversal of 13082110286400 is 468201128031.

The square root of 13082110286400 is 3616920.

It is a perfect power (a square), and thus also a powerful number.

13082110286400 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 2 + 1 + 1 + 0 + 2 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1562462784 + 13080547823616 = 39528^2 + 3616704^2 .

It is a super-2 number, since 2×13082110286400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 66406651102 + ... + 66406651298.

Almost surely, 2^{13082110286400} is an apocalyptic number.

13082110286400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13082110286400 is the 3616920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13082110286400

13082110286400 is an abundant number, since it is smaller than the sum of its proper divisors (38448644356609).

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

13082110286400 is an frugal number, since it uses more digits than its factorization.

13082110286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 13082110286400 by its sum of digits (36), we get a square (470955970310400 = 21701520²).

13082110286400 divided by its sum of digits (36) gives a square (363391952400 = 602820²).

The spelling of 13082110286400 in words is "thirteen trillion, eighty-two billion, one hundred ten million, two hundred eighty-six thousand, four hundred".