130919333005608 has 256 divisors, whose sum is σ = 399080974118400. Its totient is φ = 34936702894080.

The previous prime is 130919333005607. The next prime is 130919333005609. The reversal of 130919333005608 is 806500333919031.

It is an interprime number because it is at equal distance from previous prime (130919333005607) and next prime (130919333005609).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (130919333005607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221106308 + ... + 1221213516.

It is an arithmetic number, because the mean of its divisors is an integer number (1558910055150).

Almost surely, 2^{130919333005608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130919333005608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199540487059200).

130919333005608 is an abundant number, since it is smaller than the sum of its proper divisors (268161641112792).

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

130919333005608 is a wasteful number, since it uses less digits than its factorization.

130919333005608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110500 (or 110496 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 51.

The spelling of 130919333005608 in words is "one hundred thirty trillion, nine hundred nineteen billion, three hundred thirty-three million, five thousand, six hundred eight".