331034424430133 has 8 divisors (see below), whose sum is σ = 331203733592760. Its totient is φ = 330865142731200.

The previous prime is 331034424430123. The next prime is 331034424430147.

331034424430133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 272675932461604 + 58358491968529 = 16512902^2 + 7639273^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331034424430133 - 2⁴⁰ = 329934912802357 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331034424430123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17268983 + ... + 30988491.

It is an arithmetic number, because the mean of its divisors is an integer number (41400466699095).

Almost surely, 2^{331034424430133} is an apocalyptic number.

It is an amenable number.

331034424430133 is a deficient number, since it is larger than the sum of its proper divisors (169309162627).

331034424430133 is a wasteful number, since it uses less digits than its factorization.

331034424430133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731847.

The product of its (nonzero) digits is 373248, while the sum is 38.

The spelling of 331034424430133 in words is "three hundred thirty-one trillion, thirty-four billion, four hundred twenty-four million, four hundred thirty thousand, one hundred thirty-three".