313352511220 has 192 divisors, whose sum is σ = 806551603200. Its totient is φ = 99817095168.

The previous prime is 313352511209. The next prime is 313352511239. The reversal of 313352511220 is 22115253313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103654629 + ... + 103657651.

It is an arithmetic number, because the mean of its divisors is an integer number (4200789600).

Almost surely, 2^313352511220 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 313352511220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403275801600).

313352511220 is an abundant number, since it is smaller than the sum of its proper divisors (493199091980).

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

313352511220 is a wasteful number, since it uses less digits than its factorization.

313352511220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 313352511220 its reverse (22115253313), we get a palindrome (335467764533).

The spelling of 313352511220 in words is "three hundred thirteen billion, three hundred fifty-two million, five hundred eleven thousand, two hundred twenty".