130131100 has 72 divisors (see below), whose sum is σ = 309886416. Its totient is φ = 47040000.

The previous prime is 130131061. The next prime is 130131103. The reversal of 130131100 is 1131031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308890 + ... + 309310.

It is an arithmetic number, because the mean of its divisors is an integer number (4303978).

Almost surely, 2^130131100 is an apocalyptic number.

130131100 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 130131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154943208).

130131100 is an abundant number, since it is smaller than the sum of its proper divisors (179755316).

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

130131100 is a wasteful number, since it uses less digits than its factorization.

130131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 720 counting only the distinct ones).

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

The square root of 130131100 is about 11407.5019175979. The cubic root of 130131100 is about 506.7499334141.

Adding to 130131100 its reverse (1131031), we get a palindrome (131262131).

The spelling of 130131100 in words is "one hundred thirty million, one hundred thirty-one thousand, one hundred".