313001312 has 48 divisors (see below), whose sum is σ = 668520720. Its totient is φ = 143396352.

The previous prime is 313001303. The next prime is 313001333. The reversal of 313001312 is 213100313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55118 + ... + 60530.

It is an arithmetic number, because the mean of its divisors is an integer number (13927515).

Almost surely, 2^313001312 is an apocalyptic number.

313001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334260360).

313001312 is an abundant number, since it is smaller than the sum of its proper divisors (355519408).

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

313001312 is a wasteful number, since it uses less digits than its factorization.

313001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5567 counting only the distinct ones).

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

The square root of 313001312 is about 17691.8430922276. The cubic root of 313001312 is about 678.9670823150.

Adding to 313001312 its reverse (213100313), we get a palindrome (526101625).

Subtracting from 313001312 its reverse (213100313), we obtain a palindrome (99900999).

It can be divided in two parts, 313001 and 312, that added together give a palindrome (313313).

The spelling of 313001312 in words is "three hundred thirteen million, one thousand, three hundred twelve".