331220133333 has 24 divisors (see below), whose sum is σ = 479905230168. Its totient is φ = 220132442112.

The previous prime is 331220133319. The next prime is 331220133341. The reversal of 331220133333 is 333331022133.

331220133333 is a `hidden beast` number, since 3 + 312 + 2 + 0 + 13 + 3 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 338633604 + 330881499729 = 18402^2 + 575223^2 .

It is not a de Polignac number, because 331220133333 - 2⁶ = 331220133269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331220133297 and 331220133306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220153333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15483541 + ... + 15504917.

It is an arithmetic number, because the mean of its divisors is an integer number (19996051257).

Almost surely, 2^331220133333 is an apocalyptic number.

It is an amenable number.

331220133333 is a deficient number, since it is larger than the sum of its proper divisors (148685096835).

331220133333 is a wasteful number, since it uses less digits than its factorization.

331220133333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26613 (or 26610 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 331220133333 its reverse (333331022133), we get a palindrome (664551155466).

The spelling of 331220133333 in words is "three hundred thirty-one billion, two hundred twenty million, one hundred thirty-three thousand, three hundred thirty-three".