13350531504000 has 256 divisors, whose sum is σ = 44273446963200. Its totient is φ = 3558819686400.

The previous prime is 13350531503987. The next prime is 13350531504007. The reversal of 13350531504000 is 40513505331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13350531504007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132765741 + ... + 132866259.

It is an arithmetic number, because the mean of its divisors is an integer number (172943152200).

Almost surely, 2^{13350531504000} is an apocalyptic number.

13350531504000 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 13350531504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22136723481600).

13350531504000 is an abundant number, since it is smaller than the sum of its proper divisors (30922915459200).

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

13350531504000 is a wasteful number, since it uses less digits than its factorization.

13350531504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103318 (or 103296 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 13350531504000 in words is "thirteen trillion, three hundred fifty billion, five hundred thirty-one million, five hundred four thousand".