13082250533000 has 384 divisors, whose sum is σ = 35981052962400. Its totient is φ = 4432947200000.

The previous prime is 13082250532969. The next prime is 13082250533029. The reversal of 13082250533000 is 33505228031.

It can be written as a sum of positive squares in 16 ways, for example, as 879622645924 + 12202627887076 = 937882^2 + 3493226^2 .

It is a super-2 number, since 2×13082250533000² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 207725516 + ... + 207788484.

Almost surely, 2^{13082250533000} is an apocalyptic number.

13082250533000 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 13082250533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990526481200).

13082250533000 is an abundant number, since it is smaller than the sum of its proper divisors (22898802429400).

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

13082250533000 is a wasteful number, since it uses less digits than its factorization.

13082250533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63130 (or 63105 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 13082250533000 in words is "thirteen trillion, eighty-two billion, two hundred fifty million, five hundred thirty-three thousand".