130113100 has 54 divisors (see below), whose sum is σ = 305774700. Its totient is φ = 48035520.

The previous prime is 130113089. The next prime is 130113103. The reversal of 130113100 is 1311031.

It is a super-2 number, since 2×130113100² = 33858837583220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (130113103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13051 + ... + 20749.

Almost surely, 2^130113100 is an apocalyptic number.

130113100 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 130113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152887350).

130113100 is an abundant number, since it is smaller than the sum of its proper divisors (175661600).

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

130113100 is a wasteful number, since it uses less digits than its factorization.

130113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7739 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 130113100 is about 11406.7129358111. The cubic root of 130113100 is about 506.7265674409.

Adding to 130113100 its reverse (1311031), we get a palindrome (131424131).

The spelling of 130113100 in words is "one hundred thirty million, one hundred thirteen thousand, one hundred".