130005706761 has 144 divisors (see below), whose sum is σ = 234380789760. Its totient is φ = 69030118080.

The previous prime is 130005706751. The next prime is 130005706783. The reversal of 130005706761 is 167607500031.

130005706761 is a `hidden beast` number, since 13 + 0 + 0 + 0 + 570 + 6 + 76 + 1 = 666.

It is not a de Polignac number, because 130005706761 - 2⁵ = 130005706729 is a prime.

It is a super-2 number, since 2×130005706761² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130005706741) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 206030916 + ... + 206031546.

Almost surely, 2^130005706761 is an apocalyptic number.

It is an amenable number.

130005706761 is a deficient number, since it is larger than the sum of its proper divisors (104375082999).

130005706761 is a wasteful number, since it uses less digits than its factorization.

130005706761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 130005706761 in words is "one hundred thirty billion, five million, seven hundred six thousand, seven hundred sixty-one".