313221331320 has 128 divisors (see below), whose sum is σ = 957990680640. Its totient is φ = 81898618880.

The previous prime is 313221331309. The next prime is 313221331391. The reversal of 313221331320 is 23133122313.

313221331320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10778410 + ... + 10807430.

Almost surely, 2^313221331320 is an apocalyptic number.

313221331320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313221331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478995340320).

313221331320 is an abundant number, since it is smaller than the sum of its proper divisors (644769349320).

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

313221331320 is a wasteful number, since it uses less digits than its factorization.

313221331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30785 (or 30781 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313221331320 its reverse (23133122313), we get a palindrome (336354453633).

The spelling of 313221331320 in words is "three hundred thirteen billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred twenty".