331122330033 has 32 divisors (see below), whose sum is σ = 485142912000. Its totient is φ = 199219070400.

The previous prime is 331122329999. The next prime is 331122330037. The reversal of 331122330033 is 330033221133.

It is not a de Polignac number, because 331122330033 - 2⁹ = 331122329521 is a prime.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 331122329985 and 331122330012.

It is not an unprimeable number, because it can be changed into a prime (331122330037) 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 31 ways as a sum of consecutive naturals, for example, 8984638 + ... + 9021416.

It is an arithmetic number, because the mean of its divisors is an integer number (15160716000).

Almost surely, 2^331122330033 is an apocalyptic number.

331122330033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331122330033 is a deficient number, since it is larger than the sum of its proper divisors (154020581967).

331122330033 is a wasteful number, since it uses less digits than its factorization.

331122330033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38773.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 331122330033 its reverse (330033221133), we get a palindrome (661155551166).

The spelling of 331122330033 in words is "three hundred thirty-one billion, one hundred twenty-two million, three hundred thirty thousand, thirty-three".