1304224224031 has 16 divisors (see below), whose sum is σ = 1337904558144. Its totient is φ = 1270895318784.

The previous prime is 1304224224013. The next prime is 1304224224071.

1304224224031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1304224224031 - 2⁷ = 1304224223903 is a prime.

It is a super-2 number, since 2×1304224224031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304224224071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8792875 + ... + 8939971.

It is an arithmetic number, because the mean of its divisors is an integer number (83619034884).

Almost surely, 2^{1304224224031} is an apocalyptic number.

1304224224031 is a deficient number, since it is larger than the sum of its proper divisors (33680334113).

1304224224031 is a wasteful number, since it uses less digits than its factorization.

1304224224031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148290.

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 1304224224031 in words is "one trillion, three hundred four billion, two hundred twenty-four million, two hundred twenty-four thousand, thirty-one".