13342220214000 has 320 divisors, whose sum is σ = 43477502595072. Its totient is φ = 3519728640000.

The previous prime is 13342220213923. The next prime is 13342220214019. The reversal of 13342220214000 is 41202224331.

It is a happy number.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2169110925 + ... + 2169117075.

Almost surely, 2^{13342220214000} is an apocalyptic number.

13342220214000 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 13342220214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21738751297536).

13342220214000 is an abundant number, since it is smaller than the sum of its proper divisors (30135282381072).

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

13342220214000 is a wasteful number, since it uses less digits than its factorization.

13342220214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13342220214000 its reverse (41202224331), we get a palindrome (13383422438331).

The spelling of 13342220214000 in words is "thirteen trillion, three hundred forty-two billion, two hundred twenty million, two hundred fourteen thousand".