13313332010000 has 200 divisors, whose sum is σ = 35608299196800. Its totient is φ = 4779927360000.

The previous prime is 13313332009963. The next prime is 13313332010009. The reversal of 13313332010000 is 1023331331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13313332010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7923986 + ... + 9456014.

It is an arithmetic number, because the mean of its divisors is an integer number (178041495984).

Almost surely, 2^{13313332010000} is an apocalyptic number.

13313332010000 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 13313332010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17804149598400).

13313332010000 is an abundant number, since it is smaller than the sum of its proper divisors (22294967186800).

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

13313332010000 is a wasteful number, since it uses less digits than its factorization.

13313332010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532147 (or 1532126 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13313332010000 its reverse (1023331331), we get a palindrome (13314355341331).

The spelling of 13313332010000 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirty-two million, ten thousand".