313531340364 has 144 divisors (see below), whose sum is σ = 880309422720. Its totient is φ = 93293233920.

The previous prime is 313531340327. The next prime is 313531340371. The reversal of 313531340364 is 463043135313.

313531340364 is a `hidden beast` number, since 31 + 3 + 531 + 34 + 0 + 3 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6538227 + ... + 6586005.

It is an arithmetic number, because the mean of its divisors is an integer number (6113259880).

Almost surely, 2^313531340364 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 313531340364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440154711360).

313531340364 is an abundant number, since it is smaller than the sum of its proper divisors (566778082356).

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

313531340364 is a wasteful number, since it uses less digits than its factorization.

313531340364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48100 (or 48095 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 313531340364 its reverse (463043135313), we get a palindrome (776574475677).

The spelling of 313531340364 in words is "three hundred thirteen billion, five hundred thirty-one million, three hundred forty thousand, three hundred sixty-four".