313312311311320 has 128 divisors (see below), whose sum is σ = 753657778944000. Its totient is φ = 116934605061120.

The previous prime is 313312311311317. The next prime is 313312311311333. The reversal of 313312311311320 is 23113113213313.

It is a happy number.

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, 251310061 + ... + 252553699.

It is an arithmetic number, because the mean of its divisors is an integer number (5887951398000).

Almost surely, 2^{313312311311320} 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 313312311311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376828889472000).

313312311311320 is an abundant number, since it is smaller than the sum of its proper divisors (440345467632680).

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

313312311311320 is a wasteful number, since it uses less digits than its factorization.

313312311311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250393 (or 1250389 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 313312311311320 its reverse (23113113213313), we get a palindrome (336425424524633).

The spelling of 313312311311320 in words is "three hundred thirteen trillion, three hundred twelve billion, three hundred eleven million, three hundred eleven thousand, three hundred twenty".