13313540500000 has 336 divisors, whose sum is σ = 36144930932712. Its totient is φ = 4795776000000.

The previous prime is 13313540499977. The next prime is 13313540500037. The reversal of 13313540500000 is 504531331.

It can be written as a sum of positive squares in 28 ways, for example, as 8599274732304 + 4714265767696 = 2932452^2 + 2171236^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 266475022 + ... + 266524978.

Almost surely, 2^{13313540500000} is an apocalyptic number.

13313540500000 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 13313540500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18072465466356).

13313540500000 is an abundant number, since it is smaller than the sum of its proper divisors (22831390432712).

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

13313540500000 is an frugal number, since it uses more digits than its factorization.

13313540500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50051 (or 50018 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 13313540500000 in words is "thirteen trillion, three hundred thirteen billion, five hundred forty million, five hundred thousand".