130004100 has 216 divisors, whose sum is σ = 447861960. Its totient is φ = 31395840.

The previous prime is 130004089. The next prime is 130004123. The reversal of 130004100 is 1400031.

It can be written as a sum of positive squares in 12 ways, for example, as 1272384 + 128731716 = 1128^2 + 11346^2 .

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

130004100 is a modest number, since divided by 4100 gives 1300 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 443554 + ... + 443846.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2^130004100 is an apocalyptic number.

130004100 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 130004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223930980).

130004100 is an abundant number, since it is smaller than the sum of its proper divisors (317857860).

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

130004100 is a wasteful number, since it uses less digits than its factorization.

130004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130004100 is about 11401.9340464677. The cubic root of 130004100 is about 506.5850274356.

Adding to 130004100 its reverse (1400031), we get a palindrome (131404131).

The spelling of 130004100 in words is "one hundred thirty million, four thousand, one hundred".