331243000342133 has 24 divisors (see below), whose sum is σ = 365372175701400. Its totient is φ = 300073094830080.

The previous prime is 331243000342129. The next prime is 331243000342141.

331243000342133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19878694853809 + 311364305488324 = 4458553^2 + 17645518^2 .

It is not a de Polignac number, because 331243000342133 - 2² = 331243000342129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331243000342133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331243000342433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118639583 + ... + 121399491.

It is an arithmetic number, because the mean of its divisors is an integer number (15223840654225).

Almost surely, 2^{331243000342133} is an apocalyptic number.

It is an amenable number.

331243000342133 is a deficient number, since it is larger than the sum of its proper divisors (34129175359267).

331243000342133 is a wasteful number, since it uses less digits than its factorization.

331243000342133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763413 (or 2763402 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 331243000 and 342133, that added together give a palindrome (331585133).

The spelling of 331243000342133 in words is "three hundred thirty-one trillion, two hundred forty-three billion, three hundred forty-two thousand, one hundred thirty-three".