13342131341000 has 512 divisors, whose sum is σ = 42754563072000. Its totient is φ = 3768412032000.

The previous prime is 13342131340999. The next prime is 13342131341041. The reversal of 13342131341000 is 14313124331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33450746 + ... + 33847254.

It is an arithmetic number, because the mean of its divisors is an integer number (83505006000).

Almost surely, 2^{13342131341000} is an apocalyptic number.

13342131341000 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 13342131341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21377281536000).

13342131341000 is an abundant number, since it is smaller than the sum of its proper divisors (29412431731000).

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

13342131341000 is a wasteful number, since it uses less digits than its factorization.

13342131341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396590 (or 396576 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13342131341000 its reverse (14313124331), we get a palindrome (13356444465331).

The spelling of 13342131341000 in words is "thirteen trillion, three hundred forty-two billion, one hundred thirty-one million, three hundred forty-one thousand".