313201131320 has 256 divisors, whose sum is σ = 951913036800. Its totient is φ = 89741352960.

The previous prime is 313201131307. The next prime is 313201131329. The reversal of 313201131320 is 23131102313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313201131292 and 313201131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313201131329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2181926 + ... + 2321034.

It is an arithmetic number, because the mean of its divisors is an integer number (3718410300).

Almost surely, 2^313201131320 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 313201131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475956518400).

313201131320 is an abundant number, since it is smaller than the sum of its proper divisors (638711905480).

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

313201131320 is a wasteful number, since it uses less digits than its factorization.

313201131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139198 (or 139194 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313201131320 its reverse (23131102313), we get a palindrome (336332233633).

The spelling of 313201131320 in words is "three hundred thirteen billion, two hundred one million, one hundred thirty-one thousand, three hundred twenty".