131440013120 has 224 divisors, whose sum is σ = 344087805600. Its totient is φ = 47531556864.

The previous prime is 131440013101. The next prime is 131440013123. The reversal of 131440013120 is 21310044131.

It can be written as a sum of positive squares in 16 ways, for example, as 33004715584 + 98435297536 = 181672^2 + 313744^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131440013092 and 131440013101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131440013123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40354532 + ... + 40357788.

It is an arithmetic number, because the mean of its divisors is an integer number (1536106275).

Almost surely, 2^131440013120 is an apocalyptic number.

131440013120 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 131440013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172043902800).

131440013120 is an abundant number, since it is smaller than the sum of its proper divisors (212647792480).

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

131440013120 is a wasteful number, since it uses less digits than its factorization.

131440013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131440013120 its reverse (21310044131), we get a palindrome (152750057251).

The spelling of 131440013120 in words is "one hundred thirty-one billion, four hundred forty million, thirteen thousand, one hundred twenty".