13131200320 has 168 divisors, whose sum is σ = 36456935976. Its totient is φ = 4491841536.

The previous prime is 13131200297. The next prime is 13131200321. The reversal of 13131200320 is 2300213131.

It can be written as a sum of positive squares in 4 ways, for example, as 6887672064 + 6243528256 = 82992^2 + 79016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13131200294 and 13131200303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131200321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10614742 + ... + 10615978.

Almost surely, 2^13131200320 is an apocalyptic number.

13131200320 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 13131200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228467988).

13131200320 is an abundant number, since it is smaller than the sum of its proper divisors (23325735656).

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

13131200320 is a wasteful number, since it uses less digits than its factorization.

13131200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13131200320 its reverse (2300213131), we get a palindrome (15431413451).

The spelling of 13131200320 in words is "thirteen billion, one hundred thirty-one million, two hundred thousand, three hundred twenty".