131020213224320 has 256 divisors, whose sum is σ = 358624540454400. Its totient is φ = 44838647193600.

The previous prime is 131020213224311. The next prime is 131020213224403. The reversal of 131020213224320 is 23422312020131.

It is a super-3 number, since 3×131020213224320³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131020213224320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5566079111 + ... + 5566102649.

It is an arithmetic number, because the mean of its divisors is an integer number (1400877111150).

Almost surely, 2^{131020213224320} is an apocalyptic number.

131020213224320 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 131020213224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179312270227200).

131020213224320 is an abundant number, since it is smaller than the sum of its proper divisors (227604327230080).

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

131020213224320 is a wasteful number, since it uses less digits than its factorization.

131020213224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25797 (or 25785 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131020213224320 its reverse (23422312020131), we get a palindrome (154442525244451).

The spelling of 131020213224320 in words is "one hundred thirty-one trillion, twenty billion, two hundred thirteen million, two hundred twenty-four thousand, three hundred twenty".