130513410 has 96 divisors (see below), whose sum is σ = 360339840. Its totient is φ = 33613920.

The previous prime is 130513399. The next prime is 130513447. The reversal of 130513410 is 14315031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259219 + ... + 259721.

It is an arithmetic number, because the mean of its divisors is an integer number (3753540).

Almost surely, 2^130513410 is an apocalyptic number.

130513410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130513410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180169920).

130513410 is an abundant number, since it is smaller than the sum of its proper divisors (229826430).

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

130513410 is a wasteful number, since it uses less digits than its factorization.

130513410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130513410 is about 11424.2465834732. The cubic root of 130513410 is about 507.2457056313.

Adding to 130513410 its reverse (14315031), we get a palindrome (144828441).

It can be divided in two parts, 13051 and 3410, that added together give a palindrome (16461).

The spelling of 130513410 in words is "one hundred thirty million, five hundred thirteen thousand, four hundred ten".