131330587220640 has 576 divisors, whose sum is σ = 458715472330752. Its totient is φ = 34205591347200.

The previous prime is 131330587220621. The next prime is 131330587220653. The reversal of 131330587220640 is 46022785033131.

131330587220640 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 0 + 587 + 2 + 2 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16033518945 + ... + 16033527135.

It is an arithmetic number, because the mean of its divisors is an integer number (796381028352).

Almost surely, 2^{131330587220640} is an apocalyptic number.

131330587220640 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 131330587220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229357736165376).

131330587220640 is an abundant number, since it is smaller than the sum of its proper divisors (327384885110112).

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

131330587220640 is a wasteful number, since it uses less digits than its factorization.

131330587220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9533 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 131330587220640 in words is "one hundred thirty-one trillion, three hundred thirty billion, five hundred eighty-seven million, two hundred twenty thousand, six hundred forty".