131330305440 has 288 divisors, whose sum is σ = 474064980480. Its totient is φ = 33039249408.

The previous prime is 131330305439. The next prime is 131330305453. The reversal of 131330305440 is 44503033131.

131330305440 is a `hidden beast` number, since 1 + 313 + 3 + 0 + 305 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 2390601 + ... + 2444919.

It is an arithmetic number, because the mean of its divisors is an integer number (1646058960).

Almost surely, 2^131330305440 is an apocalyptic number.

131330305440 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 131330305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237032490240).

131330305440 is an abundant number, since it is smaller than the sum of its proper divisors (342734675040).

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

131330305440 is a wasteful number, since it uses less digits than its factorization.

131330305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54436 (or 54425 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 131330305440 its reverse (44503033131), we get a palindrome (175833338571).

The spelling of 131330305440 in words is "one hundred thirty-one billion, three hundred thirty million, three hundred five thousand, four hundred forty".