321103311012000 has 432 divisors, whose sum is σ = 1252613418264936. Its totient is φ = 77843225856000.

The previous prime is 321103311011929. The next prime is 321103311012013. The reversal of 321103311012000 is 210113301123.

321103311012000 is a `hidden beast` number, since 3 + 21 + 10 + 331 + 101 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77450067527184 + 243653243484816 = 8800572^2 + 15609396^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32501589 + ... + 41213588.

Almost surely, 2^{321103311012000} is an apocalyptic number.

321103311012000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321103311012000 is an abundant number, since it is smaller than the sum of its proper divisors (931510107252936).

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

321103311012000 is a wasteful number, since it uses less digits than its factorization.

321103311012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73715230 (or 73715198 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321103311012000 its reverse (210113301123), we get a palindrome (321313424313123).

The spelling of 321103311012000 in words is "three hundred twenty-one trillion, one hundred three billion, three hundred eleven million, twelve thousand".