13342132140000 has 240 divisors, whose sum is σ = 44292165869952. Its totient is φ = 3515034304000.

The previous prime is 13342132139989. The next prime is 13342132140047. The reversal of 13342132140000 is 4123124331.

It is a happy number.

13342132140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×13342132140000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3640429 + ... + 6319571.

Almost surely, 2^{13342132140000} is an apocalyptic number.

13342132140000 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 13342132140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22146082934976).

13342132140000 is an abundant number, since it is smaller than the sum of its proper divisors (30950033729952).

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

13342132140000 is an equidigital number, since it uses as much as digits as its factorization.

13342132140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679259 (or 2679236 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13342132140000 its reverse (4123124331), we get a palindrome (13346255264331).

The spelling of 13342132140000 in words is "thirteen trillion, three hundred forty-two billion, one hundred thirty-two million, one hundred forty thousand".