130032315 has 48 divisors (see below), whose sum is σ = 263098368. Its totient is φ = 58171968.

The previous prime is 130032299. The next prime is 130032323. The reversal of 130032315 is 513230031.

It is not a de Polignac number, because 130032315 - 2⁴ = 130032299 is a prime.

It is a super-3 number, since 3×130032315³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10414 + ... + 19196.

It is an arithmetic number, because the mean of its divisors is an integer number (5481216).

Almost surely, 2^130032315 is an apocalyptic number.

130032315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130032315 is an abundant number, since it is smaller than the sum of its proper divisors (133066053).

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

130032315 is a wasteful number, since it uses less digits than its factorization.

130032315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130032315 is about 11403.1712694320. The cubic root of 130032315 is about 506.6216731071.

Adding to 130032315 its reverse (513230031), we get a palindrome (643262346).

It can be divided in two parts, 13003231 and 5, that added together give a square (13003236 = 3606²).

The spelling of 130032315 in words is "one hundred thirty million, thirty-two thousand, three hundred fifteen".