313100312 has 64 divisors (see below), whose sum is σ = 687575040. Its totient is φ = 130896000.

The previous prime is 313100267. The next prime is 313100317. The reversal of 313100312 is 213001313.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313100317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515513 + ... + 516119.

It is an arithmetic number, because the mean of its divisors is an integer number (10743360).

Almost surely, 2^313100312 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 313100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343787520).

313100312 is an abundant number, since it is smaller than the sum of its proper divisors (374474728).

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

313100312 is a wasteful number, since it uses less digits than its factorization.

313100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 313100312 is about 17694.6407705836. The cubic root of 313100312 is about 679.0386588580.

Adding to 313100312 its reverse (213001313), we get a palindrome (526101625).

The spelling of 313100312 in words is "three hundred thirteen million, one hundred thousand, three hundred twelve".