13313300100000 has 288 divisors, whose sum is σ = 46250986122432. Its totient is φ = 3341376000000.

The previous prime is 13313300099989. The next prime is 13313300100071. The reversal of 13313300100000 is 100331331.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 3794775 + ... + 6405225.

It is an arithmetic number, because the mean of its divisors is an integer number (160593701814).

Almost surely, 2^{13313300100000} is an apocalyptic number.

13313300100000 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 13313300100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23125493061216).

13313300100000 is an abundant number, since it is smaller than the sum of its proper divisors (32937686022432).

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

13313300100000 is an equidigital number, since it uses as much as digits as its factorization.

13313300100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610506 (or 2610478 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13313300100000 its reverse (100331331), we get a palindrome (13313400431331).

The spelling of 13313300100000 in words is "thirteen trillion, three hundred thirteen billion, three hundred million, one hundred thousand".