131105522530320 has 480 divisors, whose sum is σ = 448434829584000. Its totient is φ = 31498507837440.

The previous prime is 131105522530271. The next prime is 131105522530321. The reversal of 131105522530320 is 23035225501131.

It is not an unprimeable number, because it can be changed into a prime (131105522530321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8647543540 + ... + 8647558700.

It is an arithmetic number, because the mean of its divisors is an integer number (934239228300).

Almost surely, 2^{131105522530320} is an apocalyptic number.

131105522530320 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 131105522530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224217414792000).

131105522530320 is an abundant number, since it is smaller than the sum of its proper divisors (317329307053680).

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

131105522530320 is a wasteful number, since it uses less digits than its factorization.

131105522530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16775 (or 16726 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 131105522530320 in words is "one hundred thirty-one trillion, one hundred five billion, five hundred twenty-two million, five hundred thirty thousand, three hundred twenty".