331414222414133 has 8 divisors (see below), whose sum is σ = 333581512083456. Its totient is φ = 329250628040400.

The previous prime is 331414222414117. The next prime is 331414222414141.

331414222414133 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 331414222414133 - 2⁴ = 331414222414117 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 (331414222414153) 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, 923643941 + ... + 924002682.

It is an arithmetic number, because the mean of its divisors is an integer number (41697689010432).

Almost surely, 2^{331414222414133} is an apocalyptic number.

It is an amenable number.

331414222414133 is a deficient number, since it is larger than the sum of its proper divisors (2167289669323).

331414222414133 is a wasteful number, since it uses less digits than its factorization.

331414222414133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847647795.

The product of its digits is 165888, while the sum is 38.

The spelling of 331414222414133 in words is "three hundred thirty-one trillion, four hundred fourteen billion, two hundred twenty-two million, four hundred fourteen thousand, one hundred thirty-three".