131203320320 has 80 divisors (see below), whose sum is σ = 315516008808. Its totient is φ = 52325253120.

The previous prime is 131203320293. The next prime is 131203320323. The reversal of 131203320320 is 23023302131.

131203320320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 76432343296 + 54770977024 = 276464^2 + 234032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131203320320² (a number of 23 digits) contains 22 as substring.

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 = 131203320292 and 131203320301.

It is not an unprimeable number, because it can be changed into a prime (131203320323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786680 + ... + 938760.

Almost surely, 2^131203320320 is an apocalyptic number.

131203320320 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 131203320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157758004404).

131203320320 is an abundant number, since it is smaller than the sum of its proper divisors (184312688488).

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

131203320320 is an equidigital number, since it uses as much as digits as its factorization.

131203320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152441 (or 152425 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 131203320320 its reverse (23023302131), we get a palindrome (154226622451).

The spelling of 131203320320 in words is "one hundred thirty-one billion, two hundred three million, three hundred twenty thousand, three hundred twenty".