313313222221000 has 128 divisors (see below), whose sum is σ = 733811072772960. Its totient is φ = 125212813440000.

The previous prime is 313313222220983. The next prime is 313313222221003. The reversal of 313313222221000 is 122222313313.

It can be written as a sum of positive squares in 16 ways, for example, as 149835568858756 + 163477653362244 = 12240734^2 + 12785838^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (313313222221003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19615169014 + ... + 19615184986.

Almost surely, 2^{313313222221000} 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 313313222221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366905536386480).

313313222221000 is an abundant number, since it is smaller than the sum of its proper divisors (420497850551960).

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

313313222221000 is a wasteful number, since it uses less digits than its factorization.

313313222221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32372 (or 32358 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 313313222221000 its reverse (122222313313), we get a palindrome (313435444534313).

The spelling of 313313222221000 in words is "three hundred thirteen trillion, three hundred thirteen billion, two hundred twenty-two million, two hundred twenty-one thousand".