131020224413120 has 252 divisors, whose sum is σ = 367354992226824. Its totient is φ = 44379963694080.

The previous prime is 131020224413003. The next prime is 131020224413207. The reversal of 131020224413120 is 21314422020131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131020224413120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107413055 + ... + 108625985.

It is an arithmetic number, because the mean of its divisors is an integer number (1457757905662).

Almost surely, 2^{131020224413120} is an apocalyptic number.

131020224413120 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 131020224413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183677496113412).

131020224413120 is an abundant number, since it is smaller than the sum of its proper divisors (236334767813704).

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

131020224413120 is an equidigital number, since it uses as much as digits as its factorization.

131020224413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213128 (or 1213028 counting only the distinct ones).

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

Adding to 131020224413120 its reverse (21314422020131), we get a palindrome (152334646433251).

The spelling of 131020224413120 in words is "one hundred thirty-one trillion, twenty billion, two hundred twenty-four million, four hundred thirteen thousand, one hundred twenty".