131020224440424 has 128 divisors (see below), whose sum is σ = 358161523200000. Its totient is φ = 39610490572800.

The previous prime is 131020224440393. The next prime is 131020224440491. The reversal of 131020224440424 is 424044422020131.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1232602719 + ... + 1232709009.

It is an arithmetic number, because the mean of its divisors is an integer number (2798136900000).

Almost surely, 2^{131020224440424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131020224440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179080761600000).

131020224440424 is an abundant number, since it is smaller than the sum of its proper divisors (227141298759576).

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

131020224440424 is a wasteful number, since it uses less digits than its factorization.

131020224440424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117159 (or 117155 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 131020224440424 its reverse (424044422020131), we get a palindrome (555064646460555).

The spelling of 131020224440424 in words is "one hundred thirty-one trillion, twenty billion, two hundred twenty-four million, four hundred forty thousand, four hundred twenty-four".