130004004 has 96 divisors (see below), whose sum is σ = 359009280. Its totient is φ = 36229248.

The previous prime is 130004003. The next prime is 130004009. The reversal of 130004004 is 400400031.

130004004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130004003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67219 + ... + 69125.

It is an arithmetic number, because the mean of its divisors is an integer number (3739680).

Almost surely, 2^130004004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179504640).

130004004 is an abundant number, since it is smaller than the sum of its proper divisors (229005276).

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

130004004 is a wasteful number, since it uses less digits than its factorization.

130004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 130004004 is about 11401.9298366548. The cubic root of 130004004 is about 506.5849027416.

Adding to 130004004 its reverse (400400031), we get a palindrome (530404035).

The spelling of 130004004 in words is "one hundred thirty million, four thousand, four".