331034114133 has 48 divisors (see below), whose sum is σ = 529815686400. Its totient is φ = 198106900992.

The previous prime is 331034114119. The next prime is 331034114183. The reversal of 331034114133 is 331411430133.

331034114133 is a `hidden beast` number, since 3 + 310 + 341 + 1 + 4 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 331034114133 - 2⁵ = 331034114101 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331034114097 and 331034114106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331034114183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093360 + ... + 1362902.

It is an arithmetic number, because the mean of its divisors is an integer number (11037826800).

Almost surely, 2^331034114133 is an apocalyptic number.

It is an amenable number.

331034114133 is a deficient number, since it is larger than the sum of its proper divisors (198781572267).

331034114133 is a wasteful number, since it uses less digits than its factorization.

331034114133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269938 (or 269935 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331034114133 its reverse (331411430133), we get a palindrome (662445544266).

The spelling of 331034114133 in words is "three hundred thirty-one billion, thirty-four million, one hundred fourteen thousand, one hundred thirty-three".