131314441440 has 288 divisors, whose sum is σ = 518188194720. Its totient is φ = 27705839616.

The previous prime is 131314441387. The next prime is 131314441457. The reversal of 131314441440 is 44144413131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131314441398 and 131314441407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91026 + ... + 520494.

It is an arithmetic number, because the mean of its divisors is an integer number (1799264565).

Almost surely, 2^131314441440 is an apocalyptic number.

131314441440 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 131314441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259094097360).

131314441440 is an abundant number, since it is smaller than the sum of its proper divisors (386873753280).

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

131314441440 is a wasteful number, since it uses less digits than its factorization.

131314441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429514 (or 429499 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 131314441440 its reverse (44144413131), we get a palindrome (175458854571).

The spelling of 131314441440 in words is "one hundred thirty-one billion, three hundred fourteen million, four hundred forty-one thousand, four hundred forty".