13131111030320 has 160 divisors (see below), whose sum is σ = 31645977652800. Its totient is φ = 5061157613568.

The previous prime is 13131111030269. The next prime is 13131111030341. The reversal of 13131111030320 is 2303011113131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13131111030292 and 13131111030301.

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 31 ways as a sum of consecutive naturals, for example, 4694711162 + ... + 4694713958.

It is an arithmetic number, because the mean of its divisors is an integer number (197787360330).

Almost surely, 2^{13131111030320} is an apocalyptic number.

13131111030320 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 13131111030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15822988826400).

13131111030320 is an abundant number, since it is smaller than the sum of its proper divisors (18514866622480).

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

13131111030320 is a wasteful number, since it uses less digits than its factorization.

13131111030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13131111030320 its reverse (2303011113131), we get a palindrome (15434122143451).

The spelling of 13131111030320 in words is "thirteen trillion, one hundred thirty-one billion, one hundred eleven million, thirty thousand, three hundred twenty".