130613100 has 72 divisors (see below), whose sum is σ = 390964560. Its totient is φ = 33626880.

The previous prime is 130613029. The next prime is 130613111. The reversal of 130613100 is 1316031.

It is a super-2 number, since 2×130613100² = 34119563783220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130613100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194 + ... + 16206.

Almost surely, 2^130613100 is an apocalyptic number.

130613100 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 130613100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195482280).

130613100 is an abundant number, since it is smaller than the sum of its proper divisors (260351460).

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

130613100 is a wasteful number, since it uses less digits than its factorization.

130613100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15059 (or 15052 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 130613100 is about 11428.6088392245. The cubic root of 130613100 is about 507.3748225165.

Adding to 130613100 its reverse (1316031), we get a palindrome (131929131).

It can be divided in two parts, 13061 and 3100, that added together give a palindrome (16161).

The spelling of 130613100 in words is "one hundred thirty million, six hundred thirteen thousand, one hundred".