13125872303280 has 2560 divisors, whose sum is σ = 54202245120000. Its totient is φ = 2889337651200.

The previous prime is 13125872303237. The next prime is 13125872303377. The reversal of 13125872303280 is 8230327852131.

13125872303280 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 587 + 2 + 30 + 32 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 511 ways as a sum of consecutive naturals, for example, 166150282281 + ... + 166150282359.

It is an arithmetic number, because the mean of its divisors is an integer number (21172752000).

Almost surely, 2^{13125872303280} is an apocalyptic number.

13125872303280 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 13125872303280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27101122560000).

13125872303280 is an abundant number, since it is smaller than the sum of its proper divisors (41076372816720).

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

13125872303280 is a wasteful number, since it uses less digits than its factorization.

13125872303280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13125872303280 in words is "thirteen trillion, one hundred twenty-five billion, eight hundred seventy-two million, three hundred three thousand, two hundred eighty".