13313310312000 has 224 divisors, whose sum is σ = 43966910856960. Its totient is φ = 3549702451200.

The previous prime is 13313310311947. The next prime is 13313310312007. The reversal of 13313310312000 is 21301331331.

It is not an unprimeable number, because it can be changed into a prime (13313310312007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183299692 + ... + 183372308.

It is an arithmetic number, because the mean of its divisors is an integer number (196280852040).

Almost surely, 2^{13313310312000} is an apocalyptic number.

13313310312000 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 13313310312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21983455428480).

13313310312000 is an abundant number, since it is smaller than the sum of its proper divisors (30653600544960).

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

13313310312000 is an equidigital number, since it uses as much as digits as its factorization.

13313310312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80286 (or 80266 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13313310312000 its reverse (21301331331), we get a palindrome (13334611643331).

The spelling of 13313310312000 in words is "thirteen trillion, three hundred thirteen billion, three hundred ten million, three hundred twelve thousand".