130513500 has 288 divisors, whose sum is σ = 467445888. Its totient is φ = 30412800.

The previous prime is 130513499. The next prime is 130513511. The reversal of 130513500 is 5315031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1345452 + ... + 1345548.

It is an arithmetic number, because the mean of its divisors is an integer number (1623076).

Almost surely, 2^130513500 is an apocalyptic number.

130513500 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 130513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233722944).

130513500 is an abundant number, since it is smaller than the sum of its proper divisors (336932388).

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

130513500 is a wasteful number, since it uses less digits than its factorization.

130513500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 130513500 is about 11424.2505224632. The cubic root of 130513500 is about 507.2458222275.

Adding to 130513500 its reverse (5315031), we get a palindrome (135828531).

The spelling of 130513500 in words is "one hundred thirty million, five hundred thirteen thousand, five hundred".