1304404101 has 192 divisors, whose sum is σ = 2772725760. Its totient is φ = 585169920.

The previous prime is 1304404099. The next prime is 1304404121. The reversal of 1304404101 is 1014044031.

1304404101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1304404101 - 2¹ = 1304404099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304404121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7810720 + ... + 7810886.

It is an arithmetic number, because the mean of its divisors is an integer number (14441280).

Almost surely, 2^1304404101 is an apocalyptic number.

1304404101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1304404101 is an abundant number, since it is smaller than the sum of its proper divisors (1468321659).

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

1304404101 is a wasteful number, since it uses less digits than its factorization.

1304404101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1304404101 is about 36116.5350082203. The cubic root of 1304404101 is about 1092.6239565971.

Adding to 1304404101 its reverse (1014044031), we get a palindrome (2318448132).

The spelling of 1304404101 in words is "one billion, three hundred four million, four hundred four thousand, one hundred one".