130815201 has 16 divisors (see below), whose sum is σ = 196839360. Its totient is φ = 76547520.

The previous prime is 130815199. The next prime is 130815211. The reversal of 130815201 is 102518031.

It is not a de Polignac number, because 130815201 - 2¹ = 130815199 is a prime.

It is a super-2 number, since 2×130815201² = 34225233625340802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130815211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67390 + ... + 69303.

It is an arithmetic number, because the mean of its divisors is an integer number (12302460).

Almost surely, 2^130815201 is an apocalyptic number.

130815201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130815201 is a deficient number, since it is larger than the sum of its proper divisors (66024159).

130815201 is a wasteful number, since it uses less digits than its factorization.

130815201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136736.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 130815201 is about 11437.4473113541. The cubic root of 130815201 is about 507.6363790177.

The spelling of 130815201 in words is "one hundred thirty million, eight hundred fifteen thousand, two hundred one".