13310313323232 has 96 divisors (see below), whose sum is σ = 35404346315520. Its totient is φ = 4378058818560.

The previous prime is 13310313323231. The next prime is 13310313323309. The reversal of 13310313323232 is 23232331301331.

13310313323232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13310313323232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310313323231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383319 + ... + 5173737.

It is an arithmetic number, because the mean of its divisors is an integer number (368795274120).

Almost surely, 2^{13310313323232} is an apocalyptic number.

13310313323232 is a gapful number since it is divisible by the number (12) 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 13310313323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702173157760).

13310313323232 is an abundant number, since it is smaller than the sum of its proper divisors (22094032992288).

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

13310313323232 is a wasteful number, since it uses less digits than its factorization.

13310313323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790816 (or 4790808 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 13310313323232 its reverse (23232331301331), we get a palindrome (36542644624563).

The spelling of 13310313323232 in words is "thirteen trillion, three hundred ten billion, three hundred thirteen million, three hundred twenty-three thousand, two hundred thirty-two".