13014452000000 has 1008 divisors, whose sum is σ = 38079232579584. Its totient is φ = 4386816000000.

The previous prime is 13014451999937. The next prime is 13014452000047. The reversal of 13014452000000 is 25441031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 94995999932 + ... + 94996000068.

It is an arithmetic number, because the mean of its divisors is an integer number (37777016448).

Almost surely, 2^{13014452000000} is an apocalyptic number.

13014452000000 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 13014452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039616289792).

13014452000000 is an abundant number, since it is smaller than the sum of its proper divisors (25064780579584).

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

13014452000000 is an equidigital number, since it uses as much as digits as its factorization.

13014452000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13014452000000 its reverse (25441031), we get a palindrome (13014477441031).

The spelling of 13014452000000 in words is "thirteen trillion, fourteen billion, four hundred fifty-two million", and thus it is an aban number.