331020033 has 48 divisors (see below), whose sum is σ = 487192320. Its totient is φ = 199749888.

The previous prime is 331020023. The next prime is 331020037. The reversal of 331020033 is 330020133.

It is not a de Polignac number, because 331020033 - 2¹⁰ = 331019009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331019994 and 331020021.

It is not an unprimeable number, because it can be changed into a prime (331020037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4190088 + ... + 4190166.

It is an arithmetic number, because the mean of its divisors is an integer number (10149840).

Almost surely, 2^331020033 is an apocalyptic number.

It is an amenable number.

331020033 is a deficient number, since it is larger than the sum of its proper divisors (156172287).

331020033 is a wasteful number, since it uses less digits than its factorization.

331020033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 331020033 is about 18193.9559469622. The cubic root of 331020033 is about 691.7535966868.

Adding to 331020033 its reverse (330020133), we get a palindrome (661040166).

The spelling of 331020033 in words is "three hundred thirty-one million, twenty thousand, thirty-three".