321330320130330 has 256 divisors, whose sum is σ = 983766223503360. Its totient is φ = 73111779753984.

The previous prime is 321330320130329. The next prime is 321330320130341. The reversal of 321330320130330 is 33031023033123.

321330320130330 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 3 + 0 + 320 + 1 + 3 + 0 + 330 = 666.

It is a super-2 number, since 2×321330320130330² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 321330320130294 and 321330320130303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 722058069 + ... + 722502951.

It is an arithmetic number, because the mean of its divisors is an integer number (3842836810560).

Almost surely, 2^{321330320130330} is an apocalyptic number.

321330320130330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321330320130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491883111751680).

321330320130330 is an abundant number, since it is smaller than the sum of its proper divisors (662435903373030).

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

321330320130330 is a wasteful number, since it uses less digits than its factorization.

321330320130330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446650 (or 446644 counting only the distinct ones).

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

Adding to 321330320130330 its reverse (33031023033123), we get a palindrome (354361343163453).

The spelling of 321330320130330 in words is "three hundred twenty-one trillion, three hundred thirty billion, three hundred twenty million, one hundred thirty thousand, three hundred thirty".