131021003144440 has 128 divisors (see below), whose sum is σ = 310970145657600. Its totient is φ = 49544969379840.

The previous prime is 131021003144417. The next prime is 131021003144477. The reversal of 131021003144440 is 44441300120131.

It is a junction number, because it is equal to n+sod(n) for n = 131021003144399 and 131021003144408.

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, 1216336024 + ... + 1216443736.

It is an arithmetic number, because the mean of its divisors is an integer number (2429454262950).

Almost surely, 2^{131021003144440} is an apocalyptic number.

131021003144440 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 131021003144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155485072828800).

131021003144440 is an abundant number, since it is smaller than the sum of its proper divisors (179949142513160).

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

131021003144440 is a wasteful number, since it uses less digits than its factorization.

131021003144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111117 (or 111113 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131021003144440 its reverse (44441300120131), we get a palindrome (175462303264571).

The spelling of 131021003144440 in words is "one hundred thirty-one trillion, twenty-one billion, three million, one hundred forty-four thousand, four hundred forty".