331213312133 has 8 divisors (see below), whose sum is σ = 361656030720. Its totient is φ = 300825996480.

The previous prime is 331213312123. The next prime is 331213312159.

331213312133 is nontrivially palindromic in base 10.

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 331213312133 - 2¹⁰ = 331213311109 is a prime.

It is a super-4 number, since 4×331213312133⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331213312103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13838228 + ... + 13862141.

It is an arithmetic number, because the mean of its divisors is an integer number (45207003840).

Almost surely, 2^331213312133 is an apocalyptic number.

It is an amenable number.

331213312133 is a deficient number, since it is larger than the sum of its proper divisors (30442718587).

331213312133 is a wasteful number, since it uses less digits than its factorization.

331213312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27701467.

The product of its digits is 2916, while the sum is 26.

It can be divided in two parts, 331213 and 312133, that added together give a palindrome (643346).

The spelling of 331213312133 in words is "three hundred thirty-one billion, two hundred thirteen million, three hundred twelve thousand, one hundred thirty-three".