13310000000000 has 484 divisors, whose sum is σ = 36582128157048. Its totient is φ = 4840000000000.

The previous prime is 13309999999969. The next prime is 13310000000009. The reversal of 13310000000000 is 1331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (484).

It is a super-2 number, since 2×13310000000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (13310000000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1209999999995 + ... + 1210000000005.

Almost surely, 2^{13310000000000} is an apocalyptic number.

13310000000000 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 13310000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18291064078524).

13310000000000 is an abundant number, since it is smaller than the sum of its proper divisors (23272128157048).

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

13310000000000 is an frugal number, since it uses more digits than its factorization.

13310000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 13310000000000 its reverse (1331), we get a palindrome (13310000001331).

13310000000000 divided by its reverse (1331) gives a 10-th power (10000000000 = 10¹⁰).

It can be divided in two parts, 13 and 310000000000, that added together give a palindrome (310000000013).

The spelling of 13310000000000 in words is "thirteen trillion, three hundred ten billion", and thus it is an aban number.