13301220004000 has 96 divisors (see below), whose sum is σ = 32684585536512. Its totient is φ = 5319920160000.

The previous prime is 13301220003947. The next prime is 13301220004021. The reversal of 13301220004000 is 40002210331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38351365 + ... + 38696635.

It is an arithmetic number, because the mean of its divisors is an integer number (340464432672).

Almost surely, 2^{13301220004000} is an apocalyptic number.

13301220004000 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 13301220004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342292768256).

13301220004000 is an abundant number, since it is smaller than the sum of its proper divisors (19383365532512).

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

13301220004000 is an equidigital number, since it uses as much as digits as its factorization.

13301220004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354927 (or 354909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13301220004000 its reverse (40002210331), we get a palindrome (13341222214331).

The spelling of 13301220004000 in words is "thirteen trillion, three hundred one billion, two hundred twenty million, four thousand".