331313331 has 8 divisors (see below), whose sum is σ = 443324304. Its totient is φ = 220088960.

The previous prime is 331313303. The next prime is 331313351. The reversal of 331313331 is 133313133.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331313331 - 2⁵ = 331313299 is a prime.

It is a super-2 number, since 2×331313331² = 219537046596631122, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 331313298 and 331313307.

It is not an unprimeable number, because it can be changed into a prime (331313351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195666 + ... + 197351.

It is an arithmetic number, because the mean of its divisors is an integer number (55415538).

Almost surely, 2^331313331 is an apocalyptic number.

331313331 is a deficient number, since it is larger than the sum of its proper divisors (112010973).

331313331 is a wasteful number, since it uses less digits than its factorization.

331313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393301.

The product of its digits is 729, while the sum is 21.

The square root of 331313331 is about 18202.0144764254. The cubic root of 331313331 is about 691.9578441971.

Adding to 331313331 its reverse (133313133), we get a palindrome (464626464).

The spelling of 331313331 in words is "three hundred thirty-one million, three hundred thirteen thousand, three hundred thirty-one".