313221330000 has 250 divisors, whose sum is σ = 1132832060514. Its totient is φ = 83525472000.

The previous prime is 313221329933. The next prime is 313221330017. The reversal of 313221330000 is 33122313.

313221330000 is a `hidden beast` number, since 31 + 322 + 13 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 196773862464 + 116447467536 = 443592^2 + 341244^2 .

It is a tau number, because it is divible by the number of its divisors (250).

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

It is a congruent number.

It is an unprimeable number.

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 49 ways as a sum of consecutive naturals, for example, 616654 + ... + 1003346.

Almost surely, 2^313221330000 is an apocalyptic number.

313221330000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313221330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566416030257).

313221330000 is an abundant number, since it is smaller than the sum of its proper divisors (819610730514).

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

313221330000 is an equidigital number, since it uses as much as digits as its factorization.

313221330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386733 (or 386703 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313221330000 its reverse (33122313), we get a palindrome (313254452313).

The spelling of 313221330000 in words is "three hundred thirteen billion, two hundred twenty-one million, three hundred thirty thousand".