313220102300 has 144 divisors (see below), whose sum is σ = 834757072128. Its totient is φ = 99563904000.

The previous prime is 313220102227. The next prime is 313220102311. The reversal of 313220102300 is 3201022313.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600875 + ... + 993725.

It is an arithmetic number, because the mean of its divisors is an integer number (5796924112).

Almost surely, 2^313220102300 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 313220102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417378536064).

313220102300 is an abundant number, since it is smaller than the sum of its proper divisors (521536969828).

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

313220102300 is a wasteful number, since it uses less digits than its factorization.

313220102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392956 (or 392949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 313220102300 its reverse (3201022313), we get a palindrome (316421124613).

The spelling of 313220102300 in words is "three hundred thirteen billion, two hundred twenty million, one hundred two thousand, three hundred".