331002002234133 has 16 divisors (see below), whose sum is σ = 490384914940800. Its totient is φ = 220662791255520.

The previous prime is 331002002234131. The next prime is 331002002234219. The reversal of 331002002234133 is 331432200200133.

331002002234133 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 0 + 20 + 0 + 223 + 413 + 3 = 666.

It is not a de Polignac number, because 331002002234133 - 2¹ = 331002002234131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331002002234097 and 331002002234106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002002234131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143563848 + ... + 145851233.

It is an arithmetic number, because the mean of its divisors is an integer number (30649057183800).

Almost surely, 2^{331002002234133} is an apocalyptic number.

It is an amenable number.

331002002234133 is a deficient number, since it is larger than the sum of its proper divisors (159382912706667).

331002002234133 is a wasteful number, since it uses less digits than its factorization.

331002002234133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289457449 (or 289457443 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 331002002234133 its reverse (331432200200133), we get a palindrome (662434202434266).

The spelling of 331002002234133 in words is "three hundred thirty-one trillion, two billion, two million, two hundred thirty-four thousand, one hundred thirty-three".