130601000 has 64 divisors (see below), whose sum is σ = 310761360. Its totient is φ = 51360000.

The previous prime is 130600999. The next prime is 130601011. The reversal of 130601000 is 106031.

It can be written as a sum of positive squares in 8 ways, for example, as 3407716 + 127193284 = 1846^2 + 11278^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59930 + ... + 62070.

Almost surely, 2^130601000 is an apocalyptic number.

130601000 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 130601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

130601000 is an abundant number, since it is smaller than the sum of its proper divisors (180160360).

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

130601000 is a wasteful number, since it uses less digits than its factorization.

130601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 130601000 is about 11428.0794536965. The cubic root of 130601000 is about 507.3591542950.

Adding to 130601000 its reverse (106031), we get a palindrome (130707031).

The spelling of 130601000 in words is "one hundred thirty million, six hundred one thousand".