131303000020320 has 576 divisors, whose sum is σ = 474972634805760. Its totient is φ = 32961216651264.

The previous prime is 131303000020307. The next prime is 131303000020331. The reversal of 131303000020320 is 23020000303131.

131303000020320 is a `hidden beast` number, since 1 + 313 + 0 + 30 + 0 + 0 + 0 + 2 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131303000020293 and 131303000020302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2434259911 + ... + 2434313849.

It is an arithmetic number, because the mean of its divisors is an integer number (824605268760).

Almost surely, 2^{131303000020320} is an apocalyptic number.

131303000020320 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 131303000020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237486317402880).

131303000020320 is an abundant number, since it is smaller than the sum of its proper divisors (343669634785440).

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

131303000020320 is a wasteful number, since it uses less digits than its factorization.

131303000020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55147 (or 55136 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131303000020320 its reverse (23020000303131), we get a palindrome (154323000323451).

The spelling of 131303000020320 in words is "one hundred thirty-one trillion, three hundred three billion, twenty thousand, three hundred twenty".