313212131300 has 72 divisors (see below), whose sum is σ = 699431483520. Its totient is φ = 121682953600.

The previous prime is 313212131291. The next prime is 313212131339. The reversal of 313212131300 is 3131212313.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361346 + ... + 870054.

It is an arithmetic number, because the mean of its divisors is an integer number (9714326160).

Almost surely, 2^313212131300 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 313212131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349715741760).

313212131300 is an abundant number, since it is smaller than the sum of its proper divisors (386219352220).

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

313212131300 is a wasteful number, since it uses less digits than its factorization.

313212131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508901 (or 508894 counting only the distinct ones).

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

Adding to 313212131300 its reverse (3131212313), we get a palindrome (316343343613).

The spelling of 313212131300 in words is "three hundred thirteen billion, two hundred twelve million, one hundred thirty-one thousand, three hundred".