313113312221000 has 128 divisors (see below), whose sum is σ = 743199149871360. Its totient is φ = 123448983616000.

The previous prime is 313113312220987. The next prime is 313113312221131. The reversal of 313113312221000 is 122213311313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271567727 + ... + 272718273.

It is an arithmetic number, because the mean of its divisors is an integer number (5806243358370).

Almost surely, 2^{313113312221000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313113312221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371599574935680).

313113312221000 is an abundant number, since it is smaller than the sum of its proper divisors (430085837650360).

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

313113312221000 is a wasteful number, since it uses less digits than its factorization.

313113312221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154472 (or 1154458 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 313113312221000 its reverse (122213311313), we get a palindrome (313235525532313).

The spelling of 313113312221000 in words is "three hundred thirteen trillion, one hundred thirteen billion, three hundred twelve million, two hundred twenty-one thousand".