331240141042133 has 8 divisors (see below), whose sum is σ = 350919594207000. Its totient is φ = 311582325542400.

The previous prime is 331240141042121. The next prime is 331240141042199.

331240141042133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 107483957297809 + 223756183744324 = 10367447^2 + 14958482^2 .

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 331240141042133 - 2²⁸ = 331239872606677 is a prime.

It is a super-2 number, since 2×331240141042133² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331240141042133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331240141042933) 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, 5409384758 + ... + 5409445991.

It is an arithmetic number, because the mean of its divisors is an integer number (43864949275875).

Almost surely, 2^{331240141042133} is an apocalyptic number.

It is an amenable number.

331240141042133 is a deficient number, since it is larger than the sum of its proper divisors (19679453164867).

331240141042133 is a wasteful number, since it uses less digits than its factorization.

331240141042133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10818832567.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 331240141042133 in words is "three hundred thirty-one trillion, two hundred forty billion, one hundred forty-one million, forty-two thousand, one hundred thirty-three".