313213223300 has 144 divisors (see below), whose sum is σ = 708620270400. Its totient is φ = 120095078400.

The previous prime is 313213223293. The next prime is 313213223303. The reversal of 313213223300 is 3322312313.

It is not an unprimeable number, because it can be changed into a prime (313213223303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38328215 + ... + 38336385.

It is an arithmetic number, because the mean of its divisors is an integer number (4920974100).

Almost surely, 2^313213223300 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 313213223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354310135200).

313213223300 is an abundant number, since it is smaller than the sum of its proper divisors (395407047100).

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

313213223300 is a wasteful number, since it uses less digits than its factorization.

313213223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 313213223300 its reverse (3322312313), we get a palindrome (316535535613).

The spelling of 313213223300 in words is "three hundred thirteen billion, two hundred thirteen million, two hundred twenty-three thousand, three hundred".