331313430420 has 108 divisors (see below), whose sum is σ = 1169063135604. Its totient is φ = 75728782080.

The previous prime is 331313430361. The next prime is 331313430433. The reversal of 331313430420 is 24034313133.

331313430420 is a `hidden beast` number, since 3 + 313 + 1 + 343 + 0 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199814364036 + 131499066384 = 447006^2 + 362628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18773121 + ... + 18790760.

It is an arithmetic number, because the mean of its divisors is an integer number (10824658663).

Almost surely, 2^331313430420 is an apocalyptic number.

331313430420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331313430420 is an abundant number, since it is smaller than the sum of its proper divisors (837749705184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331313430420 is a wasteful number, since it uses less digits than its factorization.

331313430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37563910 (or 37563898 counting only the distinct ones).

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

Adding to 331313430420 its reverse (24034313133), we get a palindrome (355347743553).

The spelling of 331313430420 in words is "three hundred thirty-one billion, three hundred thirteen million, four hundred thirty thousand, four hundred twenty".