10304040301 has 16 divisors (see below), whose sum is σ = 10626648048. Its totient is φ = 9988819200.

The previous prime is 10304040293. The next prime is 10304040311.

10304040301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2946861225 + 7357179076 = 54285^2 + 85774^2 .

It is not a de Polignac number, because 10304040301 - 2³ = 10304040293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304040311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75211905 + ... + 75212041.

It is an arithmetic number, because the mean of its divisors is an integer number (664165503).

Almost surely, 2^10304040301 is an apocalyptic number.

It is an amenable number.

10304040301 is a deficient number, since it is larger than the sum of its proper divisors (322607747).

10304040301 is an frugal number, since it uses more digits than its factorization.

10304040301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 103040 and 40301, that added together give a palindrome (143341).

The spelling of 10304040301 in words is "ten billion, three hundred four million, forty thousand, three hundred one".