13310010013300 has 432 divisors, whose sum is σ = 39197555195904. Its totient is φ = 3809332800000.

The previous prime is 13310010013297. The next prime is 13310010013301. The reversal of 13310010013300 is 331001001331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310010013301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 248521525 + ... + 248575075.

It is an arithmetic number, because the mean of its divisors is an integer number (90735081472).

Almost surely, 2^{13310010013300} is an apocalyptic number.

13310010013300 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 13310010013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19598777597952).

13310010013300 is an abundant number, since it is smaller than the sum of its proper divisors (25887545182604).

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

13310010013300 is a wasteful number, since it uses less digits than its factorization.

13310010013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53800 (or 53780 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13310010013300 its reverse (331001001331), we get a palindrome (13641011014631).

The spelling of 13310010013300 in words is "thirteen trillion, three hundred ten billion, ten million, thirteen thousand, three hundred".