13314551540000 has 240 divisors, whose sum is σ = 32958318587040. Its totient is φ = 5292967680000.

The previous prime is 13314551539999. The next prime is 13314551540009. The reversal of 13314551540000 is 4515541331.

It is a super-2 number, since 2×13314551540000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13314551540009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3624978164 + ... + 3624981836.

It is an arithmetic number, because the mean of its divisors is an integer number (137326327446).

Almost surely, 2^{13314551540000} is an apocalyptic number.

13314551540000 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 13314551540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479159293520).

13314551540000 is an abundant number, since it is smaller than the sum of its proper divisors (19643767047040).

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

13314551540000 is an equidigital number, since it uses as much as digits as its factorization.

13314551540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 13314551540000 in words is "thirteen trillion, three hundred fourteen billion, five hundred fifty-one million, five hundred forty thousand".