131201404013440 has 256 divisors, whose sum is σ = 318037708247040. Its totient is φ = 51752042496000.

The previous prime is 131201404013419. The next prime is 131201404013443. The reversal of 131201404013440 is 44310404102131.

131201404013440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131201404013399 and 131201404013408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201404013443) 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, 13665384640 + ... + 13665394240.

It is an arithmetic number, because the mean of its divisors is an integer number (1242334797840).

Almost surely, 2^{131201404013440} is an apocalyptic number.

131201404013440 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 131201404013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159018854123520).

131201404013440 is an abundant number, since it is smaller than the sum of its proper divisors (186836304233600).

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

131201404013440 is a wasteful number, since it uses less digits than its factorization.

131201404013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10621 (or 10609 counting only the distinct ones).

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

Adding to 131201404013440 its reverse (44310404102131), we get a palindrome (175511808115571).

The spelling of 131201404013440 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, thirteen thousand, four hundred forty".