13013311130320 has 20 divisors (see below), whose sum is σ = 30255948378180. Its totient is φ = 5205324452096.

The previous prime is 13013311130297. The next prime is 13013311130321. The reversal of 13013311130320 is 2303111331031.

It can be written as a sum of positive squares in 2 ways, for example, as 7768350054976 + 5244961075344 = 2787176^2 + 2290188^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 13013311130291 and 13013311130300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013311130321) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 81333194485 + ... + 81333194644.

It is an arithmetic number, because the mean of its divisors is an integer number (1512797418909).

Almost surely, 2^{13013311130320} is an apocalyptic number.

13013311130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013311130320 is an abundant number, since it is smaller than the sum of its proper divisors (17242637247860).

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

13013311130320 is a wasteful number, since it uses less digits than its factorization.

13013311130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162666389142 (or 162666389136 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13013311130320 its reverse (2303111331031), we get a palindrome (15316422461351).

The spelling of 13013311130320 in words is "thirteen trillion, thirteen billion, three hundred eleven million, one hundred thirty thousand, three hundred twenty".