331142343241133 has 8 divisors (see below), whose sum is σ = 336588187881240. Its totient is φ = 325697056073280.

The previous prime is 331142343241103. The next prime is 331142343241181.

331142343241133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3732245337604 + 327410097903529 = 1931902^2 + 18094477^2 .

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 331142343241133 - 2¹⁰ = 331142343240109 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 (331142343241103) 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, 138170198 + ... + 140546391.

It is an arithmetic number, because the mean of its divisors is an integer number (42073523485155).

Almost surely, 2^{331142343241133} is an apocalyptic number.

It is an amenable number.

331142343241133 is a deficient number, since it is larger than the sum of its proper divisors (5445844640107).

331142343241133 is a wasteful number, since it uses less digits than its factorization.

331142343241133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278736127.

The product of its digits is 186624, while the sum is 38.

The spelling of 331142343241133 in words is "three hundred thirty-one trillion, one hundred forty-two billion, three hundred forty-three million, two hundred forty-one thousand, one hundred thirty-three".