130113000 has 256 divisors, whose sum is σ = 464256000. Its totient is φ = 33696000.

The previous prime is 130112993. The next prime is 130113013. The reversal of 130113000 is 311031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1646961 + ... + 1647039.

It is an arithmetic number, because the mean of its divisors is an integer number (1813500).

Almost surely, 2^130113000 is an apocalyptic number.

130113000 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 130113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128000).

130113000 is an abundant number, since it is smaller than the sum of its proper divisors (334143000).

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

130113000 is a wasteful number, since it uses less digits than its factorization.

130113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 130113000 is about 11406.7085524265. The cubic root of 130113000 is about 506.7264376239.

Adding to 130113000 its reverse (311031), we get a palindrome (130424031).

The spelling of 130113000 in words is "one hundred thirty million, one hundred thirteen thousand".