331213001220 has 72 divisors (see below), whose sum is σ = 1009885135896. Its totient is φ = 87865823232.

The previous prime is 331213001219. The next prime is 331213001227. The reversal of 331213001220 is 22100312133.

331213001220 is a `hidden beast` number, since 3 + 312 + 130 + 0 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1114491456 + 330098509764 = 33384^2 + 574542^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331213001193 and 331213001202.

It is not an unprimeable number, because it can be changed into a prime (331213001227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4732287 + ... + 4801766.

It is an arithmetic number, because the mean of its divisors is an integer number (14026182443).

Almost surely, 2^331213001220 is an apocalyptic number.

331213001220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331213001220 is an abundant number, since it is smaller than the sum of its proper divisors (678672134676).

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

331213001220 is a wasteful number, since it uses less digits than its factorization.

331213001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534261 (or 9534256 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331213001220 its reverse (22100312133), we get a palindrome (353313313353).

The spelling of 331213001220 in words is "three hundred thirty-one billion, two hundred thirteen million, one thousand, two hundred twenty".