131020241142320 has 80 divisors (see below), whose sum is σ = 307876809310560. Its totient is φ = 51848944896000.

The previous prime is 131020241142319. The next prime is 131020241142331. The reversal of 131020241142320 is 23241142020131.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131020241142320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4125215 + ... + 16705025.

It is an arithmetic number, because the mean of its divisors is an integer number (3848460116382).

Almost surely, 2^{131020241142320} is an apocalyptic number.

131020241142320 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 131020241142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153938404655280).

131020241142320 is an abundant number, since it is smaller than the sum of its proper divisors (176856568168240).

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

131020241142320 is a wasteful number, since it uses less digits than its factorization.

131020241142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12581214 (or 12581208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131020241142320 its reverse (23241142020131), we get a palindrome (154261383162451).

The spelling of 131020241142320 in words is "one hundred thirty-one trillion, twenty billion, two hundred forty-one million, one hundred forty-two thousand, three hundred twenty".