130771024128 has 360 divisors, whose sum is σ = 416851741152. Its totient is φ = 40631058432.

The previous prime is 130771024121. The next prime is 130771024133. The reversal of 130771024128 is 821420177031.

130771024128 is a `hidden beast` number, since 130 + 7 + 7 + 102 + 412 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130771024092 and 130771024101.

It is not an unprimeable number, because it can be changed into a prime (130771024121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37717051 + ... + 37720517.

Almost surely, 2^130771024128 is an apocalyptic number.

130771024128 is a gapful number since it is divisible by the number (18) 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 130771024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208425870576).

130771024128 is an abundant number, since it is smaller than the sum of its proper divisors (286080717024).

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

130771024128 is a wasteful number, since it uses less digits than its factorization.

130771024128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 130771024128 in words is "one hundred thirty billion, seven hundred seventy-one million, twenty-four thousand, one hundred twenty-eight".