13413141520000 has 160 divisors (see below), whose sum is σ = 33505199107380. Its totient is φ = 5346935808000.

The previous prime is 13413141519983. The next prime is 13413141520007. The reversal of 13413141520000 is 2514131431.

It can be written as a sum of positive squares in 10 ways, for example, as 454696673344 + 12958444846656 = 674312^2 + 3599784^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (13413141520007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23153884 + ... + 23726116.

Almost surely, 2^{13413141520000} is an apocalyptic number.

13413141520000 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 13413141520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752599553690).

13413141520000 is an abundant number, since it is smaller than the sum of its proper divisors (20092057587380).

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

13413141520000 is an frugal number, since it uses more digits than its factorization.

13413141520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572560 (or 572533 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 13413141520000 its reverse (2514131431), we get a palindrome (13415655651431).

The spelling of 13413141520000 in words is "thirteen trillion, four hundred thirteen billion, one hundred forty-one million, five hundred twenty thousand".