13313332002000 has 320 divisors, whose sum is σ = 43132632192000. Its totient is φ = 3532836966400.

The previous prime is 13313332001941. The next prime is 13313332002077. The reversal of 13313332002000 is 20023331331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2863695676 + ... + 2863700324.

It is an arithmetic number, because the mean of its divisors is an integer number (134789475600).

Almost surely, 2^{13313332002000} is an apocalyptic number.

13313332002000 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 13313332002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21566316096000).

13313332002000 is an abundant number, since it is smaller than the sum of its proper divisors (29819300190000).

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

13313332002000 is a wasteful number, since it uses less digits than its factorization.

13313332002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13313332002000 its reverse (20023331331), we get a palindrome (13333355333331).

It can be divided in two parts, 1331333 and 2002000, that added together give a palindrome (3333333).

The spelling of 13313332002000 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirty-two million, two thousand".